Simple Functions and Coresponding Inverses: CCSS.Math.Content.HSF-BF.B.4a - Common Core: High School - Functions

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the and variables.

The given function is,

recall that therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and is solved for it is really the inverse of that is being solved for thus, .

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the and variables.

The given function is,

recall that therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and is solved for it is really the inverse of that is being solved for thus, .

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the and variables.

The given function is,

recall that therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and is solved for it is really the inverse of that is being solved for thus, .

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the and variables.

The given function is,

recall that therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and is solved for it is really the inverse of that is being solved for thus, .

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the and variables.

The given function is,

recall that therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and is solved for it is really the inverse of that is being solved for thus, .

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the and variables.

The given function is,

recall that therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and is solved for it is really the inverse of that is being solved for thus, .

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the and variables.

The given function is,

recall that therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and is solved for it is really the inverse of that is being solved for thus, .

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the and variables.

The given function is,

recall that therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and is solved for it is really the inverse of that is being solved for thus, .

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the and variables.

The given function is,

recall that therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and is solved for it is really the inverse of that is being solved for thus, .

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the and variables.

The given function is,

recall that therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and is solved for it is really the inverse of that is being solved for thus, .

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the and variables.

The given function is,

recall that therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and is solved for it is really the inverse of that is being solved for thus, .

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the and variables.

The given function is,

recall that therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and is solved for it is really the inverse of that is being solved for thus, .

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the and variables.

The given function is,

recall that therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and is solved for it is really the inverse of that is being solved for thus, .

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the and variables.

The given function is,

recall that therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and is solved for it is really the inverse of that is being solved for thus, .

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the and variables.

The given function is,

recall that therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and is solved for it is really the inverse of that is being solved for thus, .

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the and variables.

The given function is,

recall that therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and is solved for it is really the inverse of that is being solved for thus, .

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the and variables.

The given function is,

recall that therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and is solved for it is really the inverse of that is being solved for thus, .

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the and variables.

The given function is,

recall that therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and is solved for it is really the inverse of that is being solved for thus, .

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the and variables.

The given function is,

recall that therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and is solved for it is really the inverse of that is being solved for thus, .

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the and variables.

The given function is,

recall that therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and is solved for it is really the inverse of that is being solved for thus, .