Inverses

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

Tags

CCSS.HSF-BF.B.4A

The inverse has been reflected over which line?

• y = x
• y =1
• y = 0
• y = x + 1

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.5

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)

Tags

CCSS.HSF-BF.B.4C

Are  $f\left(x\right)=5x+15$  and  $g\left(x\right)=\frac{1}{5}x-3$  inverses?

• Yes

• No

Tags

CCSS.HSF-BF.B.4B

Find the inverse of  $g\left(x\right)=\left(x-4\right)^2+7$  

•  $g^{-1}\left(x\right)=4-\sqrt{x+7}$  D: $\left[7,\ \infty\right)$  

•  $g^{-1}\left(x\right)=4+\sqrt{x-7}$  D: $\left(-\infty,\ 4\right]$  

•  $g^{-1}\left(x\right)=4-\sqrt{x+7}$  D:  $\left[4,\ \infty\right)$  
  

•  $g^{-1}\left(x\right)=4+\sqrt{x-7}$  D:  $\left[4,\ \infty\right)$  
  

Tags

CCSS.HSF-BF.B.4D

Find the inverse of  $h\left(x\right)=3\left(x+5\right)^2-3$  

•  $h^{-1}\left(x\right)=-5+\frac{\sqrt{3x+9}}{3}$  D: $\left[-5,\ \infty\right)$  

•  $h^{-1}\left(x\right)=-5+\frac{\sqrt{3x+9}}{3}$  D: $\left[5,\ \infty\right)$  

•  $h^{-1}\left(x\right)=-5+\frac{\sqrt{x+3}}{3}$ D: $\left(-\infty,\ -5\right]$  
  

•  $h^{-1}\left(x\right)=-5-\frac{\sqrt{x+3}}{3}$  D:  $\left(-\infty,\ 5\right]$  
  

Tags

CCSS.HSF-BF.B.4A

Find the inverse of  $j\left(x\right)=x^2+8x+5$  

•  $j^{-1}\left(x\right)=-4+\sqrt{x+11}$  D:  $\left[-4,\ \infty\right)$  
  

•  $j^{-1}\left(x\right)=-4+\sqrt{x+43}$  D:  $\left[-4,\ \infty\right)$  
  

•  $j^{-1}\left(x\right)=4+\sqrt{x+11}$      D:  $\left[-4,\ \infty\right)$  
  

•  $j^{-1}\left(x\right)=4+\sqrt{x+43}$      D:  $\left[-4,\ \infty\right)$  
  

Tags

CCSS.HSF-BF.B.4D

Find the inverse of  $f\left(x\right)=3x^2-6x+7$  

•  $f^{-1}\left(x\right)=1-\frac{\sqrt{x-4}}{3}$      D:  $\left[1,\ \infty\right)$  
  

•  $f^{-1}\left(x\right)=1+\frac{\sqrt{3x-12}}{3}$  D:  $\left[1,\ \infty\right)$  
  

•  $f^{-1}\left(x\right)=1-\frac{\sqrt{3x-12}}{3}$  D:  $\left[1,\ \infty\right)$  
  

•  $f^{-1}\left(x\right)=1+\sqrt{x-4}$        D:  $\left[1,\ \infty\right)$  
  

Tags

CCSS.HSF-BF.B.4D

Find the inverse of  $f\left(x\right)=-\frac{3}{4}x+5$  

•  $f^{-1}\left(x\right)=5\left(x-\frac{4}{3}\right)$  

•  $f^{-1}\left(x\right)=-\frac{3}{4}\left(x-5\right)$  

•  $f^{-1}\left(x\right)=-\frac{4}{3}\left(x-5\right)$  

•  $f^{-1}\left(x\right)=-5\left(x-\frac{3}{4}\right)$  

Tags

CCSS.HSF-BF.B.4A