Inverse Functions Practice

What is the inverse of  $f\left(x\right)=x^2-5$  ?

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

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

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

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

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

•  $f^{-1}\left(x\right)=x^2+2$  

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

What is the inverse of  $f\left(x\right)=\sqrt{x-7}$  ?

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

•  $f^{-1}\left(x\right)=x^2+7$  

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

•  $f^{-1}\left(x\right)=x^2-7$  

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

If f(x)=3x, what is f^-1(x)?

• x/3

• 3x²

• 3x + 3x

• 3x^-1

Tags

CCSS.HSF-BF.B.4A

Find the inverse of f(x) = x² - 5

• 
  

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

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

• f^-1(x) = ±√(x+5)

• f^-1(x) = x² - 5

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

Tags

CCSS.HSF-BF.B.4A

Find the inverse of f(x) = x² - 5

• f^-1(x) = √(x) + 5
• f^-1(x) = ∛(x-5)
• f^-1(x) = ±√(x+5)
• f^-1(x) = x² - 5

Find the inverse 
f(x)= x⁴ - 2

• ∜(x+2)
• (x+2)⁴
• -1+2x⁴
• ∜2x

Tags

CCSS.HSF-BF.B.4A

Are the following inverses of each other?

• True
• False

Tags

CCSS.HSF-BF.B.4B