Inverse Functions Practice

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

• f^-1(x) = 4x - 3

• f^-1(x) = -1/4x - 3

• f^-1(x) = 1/4x + 3

• f^-1(x) = -4x - 3

The inverse has been reflected over which line?

• y = x

• y =1

• y = 0

• y = x + 1

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)

• (-4, -1) and (-6, -4)

• (-1, -4) and (-4, -6)

• (4, 1) and (6, 4)

Was the inverse function found correctly?

• no,

• yes

What does it mean to find the inverse of a function?

• the x's and y's are switched

• the x's and y's are divided by 2

• the x's and y's are made negative

• the x's and y's are the same

 $f\left(x\right)=5x+1$  
Find  $f^{-1}\left(x\right)$  

•  $\frac{x-5}{1}$  

•  $\frac{x}{5}-1$  

•  $x-\frac{1}{5}$  

•  $\frac{x-1}{5}$  

 $f\left(x\right)=\frac{x-2}{6}$  
Find  $f^{-1}\left(x\right)$  

•  $\frac{x-6}{2}$  

•  $6x+2$  

•  $2x+6$  

•  $6\left(x+2\right)$  

The inverse of the function f(x) is written as ...

• f ^-1(x)

• f ²(x)

• f '(x)

• f ⁺(x)

Which of the following is NOT TRUE about inverse functions?

• Inverse functions are reflections of each other over the line y = x.

• You find the inverse by switching x and y in the equation.

• The domain of a function always becomes the domain of its inverse.

• The domain of a function always becomes the range of its inverse.

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

• (1, 2) (3, 8) (-3, 6)

• (1, 2) (8, 3) (-3, 6)

• (-1, -2) (-3, -8) (3, -6)

• (2, 1) (8, 3) (6, -3)