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Finding the inverse using function notation

Inverse functions

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Page 1: Inverse functions

Finding the inverse using function notation

Page 2: Inverse functions

What is the Inverse of a function?

In mathematics, an inverse function is a function that "reverses" another function. That is, if f is a function mapping x to y, then the inverse function of f maps y back to x.

Page 3: Inverse functions

Inverse Notation

When the relation is also a function, f(x), you can write the inverse of the f(x) as

Page 4: Inverse functions

Now solve for y

Now that was easy

How to find the inverse of a function

Page 5: Inverse functions

How to find the inverse of a function:          STEP 1:  Stick "y" in for the "f(x)."

          STEP 2:  Switch the x and y.          STEP 3:  Solve for y.

STEP 4: Replace y with          THEN, CHECK IT!

Step-by-Step

Page 6: Inverse functions

Find the inverse of

Step 1:

Step 2:

Step 3:

Step 4:

Page 7: Inverse functions

YOUR TURN:

Find the inverse

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