Inverse Functions

Match each function to its inverse.

Tags

CCSS.HSF-BF.B.4A

• Take the square root of both sides

• Replace f(x) with y

• Swap x and y

• Subtract 5 on both sides of the equation

• Add three on both sides and rewrite y as the inverse function symbol

Tags

CCSS.HSF-BF.B.4A

Match the following step to the order for finding an inverse of a function.

• Step 3

• Switch x and y

• Step 1

• Solve for y

• Step 4

• Replace f(x) with y

• Step 2

Tags

CCSS.HSF-BF.B.4A

Find the inverse of  $f\left(x\right)=3x+2$  

•  $f^{-1}\left(x\right)=\frac{x-2}{3}$  

•  $f^{-1}\left(x\right)=\frac{x-3}{2}$  

•  $f^{-1}\left(x\right)=\frac{3x}{2}$  

•  $f^{-1}\left(x\right)=\frac{2+x}{3}$  

Tags

CCSS.HSF-BF.B.4A

Find the inverse of f(x) = -4x - 12.

• $f^{-1}\left(x\right)=4x-3$
  

• $f^{-1}\left(x\right)=-\frac{1}{4}x-3$

• $f^{-1}\left(x\right)=\frac{1}{4}x+3$

• $f^{-1}\left(x\right)=-4x-3$

Tags

CCSS.HSF-BF.B.4A

Determine whether the graph is a function and/or an inverse function.

• Function

• Not a Function

• Inverse Function

• Not an Inverse Function

Determine whether the graph is a function and/or an inverse function.

• Function

• Not a Function

• Inverse Function

• Not an inverse Function

Choose the mapping diagram that has an inverse function.

• A

• B

• C

• D

Tags

CCSS.HSF-BF.B.4C

Choose the mapping diagram that has an inverse function.

• A

• B

• C

• D

Tags

CCSS.HSF-BF.B.4C

Find the correct order to find the inverse of f(x)= 2x-5

• 2y-5=x

• 2y= x+5

• y=2x-5

Tags

CCSS.HSF-BF.B.4A