Inverse Functions

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.

Tags

CCSS.HSF-BF.B.4C

What's the best description?

• They are both functions, but not inverse functions.

• They are reflected over y=x, but they are not both functions.

• They are not reflected over y=x, and they are not both functions.

• They are inverse functions.

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.IF.C.9

Which is f ^-1(x)?

• f ^-1(x) = 5x + 3

• f ^-1(x) = 5x - 3

• f ^-1(x) = 5x - 15

• f ^-1(x) = 1/5(x) + 3/5

Tags

CCSS.HSF.BF.B.4

 $f\left(x\right)=7x$  
Find  $f^{-1}\left(x\right)$  

•  $\frac{x}{7}$  

•  $\frac{7}{x}$  

•  $0.7x$  

•  $x\div\frac{1}{7}$  

Tags

CCSS.HSF.BF.B.4

 $g\left(x\right)=\frac{x}{8}$  
Find  $g^{-1}\left(x\right)$  

•  $\frac{8}{x}$  

•  $8x$  

•  $\frac{1}{8}x$  

•  $x\div8$  

Tags

CCSS.HSF.BF.B.4

 $g\left(x\right)=\frac{1}{3}x$  
Find  $g^{-1}\left(x\right)$  

•  $\frac{3}{x}$  

•  $3x$  

•  $\frac{x}{3}$  

•  $x\div3$  

Tags

CCSS.HSF.BF.B.4

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

•  $\frac{x-5}{1}$  

•  $\frac{x}{5}-1$  

•  $x-\frac{1}{5}$  

•  $\frac{x-1}{5}$  

Tags

CCSS.HSA.REI.B.3

CCSS.HSF.BF.B.4

 $f\left(x\right)=\frac{2x}{7}$  
Find  $f^{-1}\left(x\right)$  

•  $\frac{7x}{2}$  

•  $\frac{2}{7}x$  

•  $7x\times2$  

•  $2x\times7$  

Tags

CCSS.HSF.BF.B.4

 $f\left(x\right)=\frac{8x-3}{5}$  
Find  $f^{-1}\left(x\right)$  

•  $5\left(8x+3\right)$  

•  $\frac{5x}{8}+3$  

•  $\frac{5\left(x+3\right)}{8}$  

•  $\frac{5x+3}{8}$  

Tags

CCSS.HSF.BF.B.4

 $f\left(x\right)=\frac{6x}{5}+3$  
Find  $f^{-1}\left(x\right)$  

•  $\frac{5x-3}{6}$  

•  $\frac{5\left(x-3\right)}{6}$  

•  $\frac{5x}{6}-3$  

•  $\frac{5x}{6}+3$  

Tags

CCSS.HSF.BF.B.4