Functions & Relations - Algebra

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Question

Find the composition, $f\circ g$ given

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Answer

To find the composition, $f\circ g$ given

recall what a composition of two functions represents.

$f \circ g=f(g(x))$

This means that the function will replace each in the function .

Therefore, in this particular problem the composition becomes

$\f\circ g=f(g(x)) $\f(g(x))=(3x)^2$+2(3x) $\f(g(x))=9x^2$+6x$

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Question

Find the inverse of .

$f(x)=\frac{3}{2+5x}$$

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Answer

To find the inverse of a function swap the variables and solve for . The function and its inverse when multiplied together, equals one. This means that the inverse undoes the function.

For this particular function the inverse is found as follows.

$f(x)=\frac{3}{2+5x}$$

$y=\frac{3}{2+5x}$$

First, switch the variables.

$x=\frac{3}{2+5y}$$

Now, perform algebraic operations to solve for .

$x\cdot (2+5y)={3}$

$\frac{x\cdot(2+5y)}{x}$=\frac{3}{x}$

$\2+5y=\frac{3}{x}$ \5y=\frac{3}{x}$-2 \y=\frac{3}{5x}$-$\frac{2}{5}$$

Therefore, the inverse is

← Didn't Know|Knew It →

Question

Find the composition, $f\circ g$ given

Tap to reveal answer

Answer

To find the composition, $f\circ g$ given

recall what a composition of two functions represents.

$f \circ g=f(g(x))$

This means that the function will replace each in the function .

Therefore, in this particular problem the composition becomes

$\f\circ g=f(g(x)) $\f(g(x))=2(7x)^2$+3 $\f(g(x))=2(49x^2$$)+3\f(g(x))=98x^2$+3$

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Question

Find the inverse of the function .

Tap to reveal answer

Answer

To find the inverse of a function swap the variables and solve for . The function and its inverse when multiplied together, equals one. This means that the inverse undoes the function.

For this particular function the inverse is found as follows.

First, switch the variables.

Now, perform algebraic operations to solve for .

Therefore, the inverse is

← Didn't Know|Knew It →

Question

Find the composition, $f\circ g$ given

Tap to reveal answer

Answer

To find the composition, $f\circ g$ given

recall what a composition of two functions represents.

$f \circ g=f(g(x))$

This means that the function will replace each in the function .

Therefore, in this particular problem the composition becomes

$\f\circ g=f(g(x)) \f(g(x))=\left($\frac{1}{2}$x \right $)^2$$\f(g(x))=\frac{1}{4}$x^2$$

← Didn't Know|Knew It →

Question

Find the composition, $f\circ g$ given

Tap to reveal answer

Answer

To find the composition, $f\circ g$ given

recall what a composition of two functions represents.

$f \circ g=f(g(x))$

This means that the function will replace each in the function .

Therefore, in this particular problem the composition becomes

$\f\circ g=f(g(x)) $\f(g(x))=(3x)^2$+2(3x) $\f(g(x))=9x^2$+6x$

← Didn't Know|Knew It →

Question

Find the inverse of .

$f(x)=\frac{3}{2+5x}$$

Tap to reveal answer

Answer

To find the inverse of a function swap the variables and solve for . The function and its inverse when multiplied together, equals one. This means that the inverse undoes the function.

For this particular function the inverse is found as follows.

$f(x)=\frac{3}{2+5x}$$

$y=\frac{3}{2+5x}$$

First, switch the variables.

$x=\frac{3}{2+5y}$$

Now, perform algebraic operations to solve for .

$x\cdot (2+5y)={3}$

$\frac{x\cdot(2+5y)}{x}$=\frac{3}{x}$

$\2+5y=\frac{3}{x}$ \5y=\frac{3}{x}$-2 \y=\frac{3}{5x}$-$\frac{2}{5}$$

Therefore, the inverse is

← Didn't Know|Knew It →

Question

Find the composition, $f\circ g$ given

Tap to reveal answer

Answer

To find the composition, $f\circ g$ given

recall what a composition of two functions represents.

$f \circ g=f(g(x))$

This means that the function will replace each in the function .

Therefore, in this particular problem the composition becomes

$\f\circ g=f(g(x)) $\f(g(x))=2(7x)^2$+3 $\f(g(x))=2(49x^2$$)+3\f(g(x))=98x^2$+3$

← Didn't Know|Knew It →

Question

Find the inverse of the function .

Tap to reveal answer

Answer

To find the inverse of a function swap the variables and solve for . The function and its inverse when multiplied together, equals one. This means that the inverse undoes the function.

For this particular function the inverse is found as follows.

First, switch the variables.

Now, perform algebraic operations to solve for .

Therefore, the inverse is

← Didn't Know|Knew It →

Question

Find the composition, $f\circ g$ given

Tap to reveal answer

Answer

To find the composition, $f\circ g$ given

recall what a composition of two functions represents.

$f \circ g=f(g(x))$

This means that the function will replace each in the function .

Therefore, in this particular problem the composition becomes

$\f\circ g=f(g(x)) $\f(g(x))=(3x)^2$+2(3x) $\f(g(x))=9x^2$+6x$

← Didn't Know|Knew It →

Question

Find the inverse of .

$f(x)=\frac{3}{2+5x}$$

Tap to reveal answer

Answer

To find the inverse of a function swap the variables and solve for . The function and its inverse when multiplied together, equals one. This means that the inverse undoes the function.

For this particular function the inverse is found as follows.

$f(x)=\frac{3}{2+5x}$$

$y=\frac{3}{2+5x}$$

First, switch the variables.

$x=\frac{3}{2+5y}$$

Now, perform algebraic operations to solve for .

$x\cdot (2+5y)={3}$

$\frac{x\cdot(2+5y)}{x}$=\frac{3}{x}$

$\2+5y=\frac{3}{x}$ \5y=\frac{3}{x}$-2 \y=\frac{3}{5x}$-$\frac{2}{5}$$

Therefore, the inverse is

← Didn't Know|Knew It →

Question

Find the composition, $f\circ g$ given

Tap to reveal answer

Answer

To find the composition, $f\circ g$ given

recall what a composition of two functions represents.

$f \circ g=f(g(x))$

This means that the function will replace each in the function .

Therefore, in this particular problem the composition becomes

$\f\circ g=f(g(x)) $\f(g(x))=2(7x)^2$+3 $\f(g(x))=2(49x^2$$)+3\f(g(x))=98x^2$+3$

← Didn't Know|Knew It →

Question

Find the inverse of the function .

Tap to reveal answer

Answer

To find the inverse of a function swap the variables and solve for . The function and its inverse when multiplied together, equals one. This means that the inverse undoes the function.

For this particular function the inverse is found as follows.

First, switch the variables.

Now, perform algebraic operations to solve for .

Therefore, the inverse is

← Didn't Know|Knew It →

Question

Find the composition, $f\circ g$ given

Tap to reveal answer

Answer

To find the composition, $f\circ g$ given

recall what a composition of two functions represents.

$f \circ g=f(g(x))$

This means that the function will replace each in the function .

Therefore, in this particular problem the composition becomes

$\f\circ g=f(g(x)) \f(g(x))=\left($\frac{1}{2}$x \right $)^2$$\f(g(x))=\frac{1}{4}$x^2$$

← Didn't Know|Knew It →

Question

Find the composition, $f\circ g$ given

Tap to reveal answer

Answer

To find the composition, $f\circ g$ given

recall what a composition of two functions represents.

$f \circ g=f(g(x))$

This means that the function will replace each in the function .

Therefore, in this particular problem the composition becomes

$\f\circ g=f(g(x)) $\f(g(x))=(3x)^2$+2(3x) $\f(g(x))=9x^2$+6x$

← Didn't Know|Knew It →

Question

Find the inverse of .

$f(x)=\frac{3}{2+5x}$$

Tap to reveal answer

Answer

To find the inverse of a function swap the variables and solve for . The function and its inverse when multiplied together, equals one. This means that the inverse undoes the function.

For this particular function the inverse is found as follows.

$f(x)=\frac{3}{2+5x}$$

$y=\frac{3}{2+5x}$$

First, switch the variables.

$x=\frac{3}{2+5y}$$

Now, perform algebraic operations to solve for .

$x\cdot (2+5y)={3}$

$\frac{x\cdot(2+5y)}{x}$=\frac{3}{x}$

$\2+5y=\frac{3}{x}$ \5y=\frac{3}{x}$-2 \y=\frac{3}{5x}$-$\frac{2}{5}$$

Therefore, the inverse is

← Didn't Know|Knew It →

Question

Find the composition, $f\circ g$ given

Tap to reveal answer

Answer

To find the composition, $f\circ g$ given

recall what a composition of two functions represents.

$f \circ g=f(g(x))$

This means that the function will replace each in the function .

Therefore, in this particular problem the composition becomes

$\f\circ g=f(g(x)) $\f(g(x))=2(7x)^2$+3 $\f(g(x))=2(49x^2$$)+3\f(g(x))=98x^2$+3$

← Didn't Know|Knew It →

Question

Find the inverse of the function .

Tap to reveal answer

Answer

To find the inverse of a function swap the variables and solve for . The function and its inverse when multiplied together, equals one. This means that the inverse undoes the function.

For this particular function the inverse is found as follows.

First, switch the variables.

Now, perform algebraic operations to solve for .

Therefore, the inverse is

← Didn't Know|Knew It →

Question

Find the composition, $f\circ g$ given

Tap to reveal answer

Answer

To find the composition, $f\circ g$ given

recall what a composition of two functions represents.

$f \circ g=f(g(x))$

This means that the function will replace each in the function .

Therefore, in this particular problem the composition becomes

$\f\circ g=f(g(x)) $\f(g(x))=(3x)^2$+2(3x) $\f(g(x))=9x^2$+6x$

← Didn't Know|Knew It →

Question

Find the inverse of .

$f(x)=\frac{3}{2+5x}$$

Tap to reveal answer

Answer

To find the inverse of a function swap the variables and solve for . The function and its inverse when multiplied together, equals one. This means that the inverse undoes the function.

For this particular function the inverse is found as follows.

$f(x)=\frac{3}{2+5x}$$

$y=\frac{3}{2+5x}$$

First, switch the variables.

$x=\frac{3}{2+5y}$$

Now, perform algebraic operations to solve for .

$x\cdot (2+5y)={3}$

$\frac{x\cdot(2+5y)}{x}$=\frac{3}{x}$

$\2+5y=\frac{3}{x}$ \5y=\frac{3}{x}$-2 \y=\frac{3}{5x}$-$\frac{2}{5}$$

Therefore, the inverse is

← Didn't Know|Knew It →

Knew It

Functions & Relations - Algebra

Find the composition, given

To find the composition, given recall what a composition of two functions represents. This means that the function will replace each in the function . Therefore, in this particular problem the composition becomes

Find the inverse of .

Find the composition, given

To find the composition, given recall what a composition of two functions represents. This means that the function will replace each in the function . Therefore, in this particular problem the composition becomes

Find the inverse of the function .

Find the composition, given

To find the composition, given recall what a composition of two functions represents. This means that the function will replace each in the function . Therefore, in this particular problem the composition becomes

Find the composition, given

To find the composition, given recall what a composition of two functions represents. This means that the function will replace each in the function . Therefore, in this particular problem the composition becomes

Find the inverse of .

Find the composition, given

To find the composition, given recall what a composition of two functions represents. This means that the function will replace each in the function . Therefore, in this particular problem the composition becomes

Find the inverse of the function .

Find the composition, given

To find the composition, given recall what a composition of two functions represents. This means that the function will replace each in the function . Therefore, in this particular problem the composition becomes

Find the inverse of .

Find the composition, given

To find the composition, given recall what a composition of two functions represents. This means that the function will replace each in the function . Therefore, in this particular problem the composition becomes

Find the inverse of the function .

Find the composition, given

To find the composition, given recall what a composition of two functions represents. This means that the function will replace each in the function . Therefore, in this particular problem the composition becomes

Find the composition, given

To find the composition, given recall what a composition of two functions represents. This means that the function will replace each in the function . Therefore, in this particular problem the composition becomes

Find the inverse of .

Find the composition, given

To find the composition, given recall what a composition of two functions represents. This means that the function will replace each in the function . Therefore, in this particular problem the composition becomes

Find the inverse of the function .

Find the composition, given

To find the composition, given recall what a composition of two functions represents. This means that the function will replace each in the function . Therefore, in this particular problem the composition becomes

Find the inverse of .

Find the composition, $f\circ g$ given

Find the inverse of .

$f(x)=\frac{3}{2+5x}$$

Find the composition, $f\circ g$ given

Find the composition, $f\circ g$ given

Find the composition, $f\circ g$ given

Find the inverse of .

$f(x)=\frac{3}{2+5x}$$

Find the composition, $f\circ g$ given

Find the composition, $f\circ g$ given

Find the inverse of .

$f(x)=\frac{3}{2+5x}$$

Find the composition, $f\circ g$ given

Find the composition, $f\circ g$ given

Find the composition, $f\circ g$ given

Find the inverse of .

$f(x)=\frac{3}{2+5x}$$

Find the composition, $f\circ g$ given

Find the composition, $f\circ g$ given

Find the inverse of .

$f(x)=\frac{3}{2+5x}$$