Finding the Inverse of Functions

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

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  $f\left(x\right)=-5x-7$  

•  $f^{-1}\left(x\right)=\frac{5x+7}{-7}$  

•  $f^{-1}\left(x\right)=\frac{x+5}{7}$  

•  $f^{-1}\left(x\right)=\frac{x+7}{-5}$  

•  $f^{-1}\left(x\right)=\frac{7}{-5+x}$  

Tags

CCSS.HSF-BF.B.4A

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

•  $f^{-1}\left(x\right)=x-25$  

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

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

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

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

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)

Tags

CCSS.HSF-BF.B.4C

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

• f ^-1(x)
• f ²(x)
• f '(x)
• f ⁺(x)

Tags

CCSS.HSF-BF.B.4A

Which is the inverse of the table?

• 
• 
• 
• 

Tags

CCSS.HSF-BF.B.4C

Was the inverse function found correctly?

• no,
• yes

Tags

CCSS.HSF-BF.B.4A

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