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Example Questions
Example Question #27 : Function Notation
Given and
, what is
?
Evaluate first. If we plugged in the function
into the function
, no matter what
is replaced with, the final output will always be negative three.
Evaluate . Multiply the function
by two.
Sum both numbers.
The answer is:
Example Question #24 : Function Notation
If ,
, and
, what is
?
Evaluate each term separately.
The term means to input the function
into the function
.
Follow suit for . Substitute
into the function
.
Add the two known terms.
The answer is:
Example Question #25 : Function Notation
If , what is
?
In order to solve , replace the entire quantity of
as a replacement of
.
Replace the term.
Distribute the binomial.
The answer is:
Example Question #682 : Algebra Ii
If , what is
?
Evaluate first. Substitute
into the function as a replacement of the x-variable.
Substitute this value to determine .
The answer is:
Example Question #31 : Function Notation
Given the function , what is the value of
?
Substitute negative three into the function.
Simplify this equation by order of operations.
The answer is:
Example Question #161 : Introduction To Functions
If , find
.
To solve this question, first convert the given function to its inverse.
Rewrite by replacing
with
.
Interchange the x and y variables.
Solve for y. Subtract 6 from both sides.
Simplify, and divide by 6 on both sides.
Simplify both sides.
The inverse function is:
Solve for by plugging 6 into the inverse function.
The answer is:
Example Question #161 : Introduction To Functions
Given the following function, determine if:
Input as the replacement of the x-variable for the function
.
The equation becomes:
Simplify by distribution.
The answer is:
Example Question #162 : Introduction To Functions
Determine if
.
Replace the with
.
Interchange the x and y variables.
Subtract three from both sides.
Divide by three on both sides.
The inverse function is:
Substitute as a replacement of
.
The answer is:
Example Question #36 : Function Notation
Given the function , what is:
?
Replace x with negative one-fifth.
Simplify the expression. When a number is subtracted from a
The answer is .
Example Question #681 : Algebra Ii
Evaluate if:
and
Evaluate by solving for
first.
No matter what value of ,
. This means that:
Then:
For any value of ,
. This means that:
The answer is:
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