Writing Inverse Functions

Good Morning!

Take out your laptop and your notebook.

​Join this quiz. Be sure to log in using your school email.

​

Warm- Up: You will be showing your work in your notebook for the next two questions

Multiple Choice

Warm up Question #1

f(x) is a function with the following steps:

1. Multiply by 2

2. Square the quantity

3. Add 9

What is the equation for f(x)?

• $$f\left(x\right)=\left(2x+9\right)^2$$

• $$f\left(x\right)=\left(2x\right)^2+9$$

• $$f\left(x\right)=2x^2+9$$

Multiple Choice

Warm Up Question #2

Find the inverse of  $$f(x)=10+7x$$  

• $$f^{-1}(x)=\frac{x-7}{10}$$

• $$f^{-1}(x)=\frac{x-10}{7}$$

• $$f^{-1}(x)=\frac{1}{10+7x}$$

​Be ready for notes

​

Multiple Choice

You try! Write this question and show your work in your notes!

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

• $$f^{-1}(x)=\frac{3}{5}+x$$

• $$f^{-1}(x)=3x+5$$

• $$f^{-1}(x)=5x+3$$

Multiple Choice

You try! Write this question and show your work in your notes!

Find the inverse of $$f\left(x\right)=4\left(x+2\right)^3-7$$  

• $$f^{-1}\left(x\right)=4\sqrt[3]{x-2}-7$$  

• $$f^{-1}\left(x\right)=\sqrt[3]{\frac{x+7}{4}}-2$$  

• $$f^{-1}\left(x\right)=\left(\frac{x+7}{4}\right)^3-2$$  

• $$f^{-1}\left(x\right)=\sqrt[3]{\frac{x+4}{2}}-7$$  

​Get ready for notes

Open Ended

Find the inverse of  $$f\left(x\right)=\ 2\sqrt[5]{x+1}-3$$