U1-N6-LP2 Finding the Inverse of a Function (Equations)

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  $f\left(x\right)=x^2+5$  

•  $f^{-1}\left(x\right)=x-25$  

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

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

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

Tags

CCSS.HSF-BF.B.4A

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

•  $f^{-1}\left(x\right)=\sqrt{x}+6$  

•  $f^{-1}\left(x\right)=\sqrt{x+6}$  

•  $f^{-1}\left(x\right)=\sqrt{x}-6$  

•  $f^{-1}\left(x\right)=\sqrt{x-6}$  

Tags

CCSS.HSF-BF.B.4A

Find the inverse of  $f\left(x\right)=\sqrt{x}+8$  

•  $f^{-1}\left(x\right)=x^2+8$  

•  $f^{-1}\left(x\right)=x^2-8$  

•  $f^{-1}\left(x\right)=\left(x+8\right)^2$  

•  $f^{-1}\left(x\right)=\left(x-8\right)^2$  

Tags

CCSS.HSF-BF.B.4A

Here is the domain and range for a function:

D: (-∞, ∞)

R: [3, ∞)

What is the domain and range of the inverse?

• D: [3, ∞)

  R: (-∞, ∞)

• D: (-∞, ∞)

  R: [3, ∞)

Tags

CCSS.HSF-BF.B.4C

If f and g are inverse functions, and
f(2) = -1     g(1) = -2     f(1) = -2, 
then which of the following MUST be true?

• g(-2) = 0
• g(1) = 1
• g(-2) = -3
• g(-1) = 2

Tags

CCSS.HSF-BF.B.4C

Is the inverse function found correctly?

• yes
• no

Tags

CCSS.HSF-BF.B.4A

What is the inverse of this function?

• A
• B
• C
• D

Tags

CCSS.HSF-BF.B.4A

Which of the following is/are true about the function given below?

 $f\left(x\right)=\sqrt{x-3}+5$  ?

•  $f^{-1}\left(x\right)=\left(x-5\right)^2+3$  

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

• The domain of  $f\left(x\right)$   is  $\left[3,\infty\right)$  .

• The domain of  $f^{-1}\left(x\right)$   is  $\left[3,\infty\right)$  .

• The range of  $f^{-1}\left(x\right)$   is  $\left[3,\infty\right)$  .

Tags

CCSS.HSF-BF.B.4A