Inverse Functions

Inverse Functions

Some text here about the topic of discussion

1) Switch x and y (sometimes y is written as f(x) )

2) Solve for y

How to do it:

Creates a function which undoes what the original function does

What it does:

Inverse Functions

Some text here about the topic of discussion

Multiple Choice

Find the inverse of:

$$f\left(x\right)=3x+2$$

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

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

• $$f^{-1}\left(x\right)=-3x-2$$

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

Multiple Choice

Find the inverse of:

$$f\left(x\right)=5x-9$$

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

• $$f^{-1}\left(x\right)=\frac{x-9}{5}$$

• $$f^{-1}\left(x\right)=-5x-9$$

• $$f^{-1}\left(x\right)=\frac{x+9}{5}$$

Multiple Choice

Find the inverse of:

$$f\left(x\right)=-3x+1$$

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

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

• $$f^{-1}\left(x\right)=3x-1$$

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

Multiple Choice

Find the inverse of:

$$f\left(x\right)=x^2$$

• $$f^{-1}\left(x\right)=\sqrt[]{x}$$

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

• $$f^{-1}\left(x\right)=2x$$

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

Multiple Choice

Find the inverse of:

$$f\left(x\right)=x^2-3$$

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

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

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

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