FST 3.8 Inverse Functions

What is the first step in finding the equation of the inverse of a function?

• get x by itself
• switch x and y
• solve for y
• write the function in inverse function notation

Tags

CCSS.HSF-BF.B.4A

What is the inverse of the function
f(x) = 2x + 4   ?

• f^-1(x) = 4(x -2)
• f^-1(x) = (x-4)/2
• f^-1(x) = x/2 - 4
• f^-1(x) = x/4 + 2

Are these functions inverses of each other?

• Yes
• No

Tags

CCSS.HSF-BF.B.4B

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)

are these inverse functions?

• no
• yes
• no way to tell

What is the inverse of the points
(1,3)(2,4)(6,8)

• (3,1)(4,2)(8,6)
• (-3,-1)(-4,-2)(-8,-6)
• (1,3)(2,4)(6,8)
• (-1,-3)(-2,-4)(-6,-8)

• A
• B
• C
• D

The inverse has been reflected over which line?

• y = x
• x = 0
• y = 0
• x = -y

Tags

CCSS.HSF-BF.B.4B

Find the inverse of  $f(x)=\frac{1}{x}$  .

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

•  $f^{-1}\left(x\right)=x$  

• no solution

Tags

CCSS.HSF-BF.B.4A

Find the inverse of  $f\left(x\right)=\sqrt{x-2}$  

•  $f^{-1}\left(x\right)=x^2-2$  

•  $f^{-1}\left(x\right)=x^2+2$  

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

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

Tags

CCSS.HSF-BF.B.4A