1. 4.2 Inverse Functions
Proving that talent isn’t all you need to become the next big thing, which formerly unknown teen has hit it big, with what some are calling the “worst thing I have ever heard”, with her song and video entitled “Friday?”

2. One-to-One
A function is one-to-one if for each y value there is only one corresponding x value. Otherwise, it is many-to-one.
many-to-one
one-to-one
Horizontal Line Test: If a horizontal line intersects the graph of a function f in only one point, then f is one-to-one.

3. Inverses
Let f denote a one-to-one function. The inverse is denoted f -1(x) and
Verify that f and g are inverses of one another.

4. Graphs of Inverse Functions
The graph of a function f and its inverse f -1 are symmetric with respect to the line y = x.

5. Finding Inverses
Find the inverse of where

6. Finding Inverses
Find the inverse of where

7. Finding Inverses Domain Range Domain Range
The domain of f is equal to the range of f -1 and vice versa.

8. Using Inverses to Find Range
Find the inverse of Then find the range of f using f -1.

9. 4.2 Inverse Functions Homework: pgs. 267 - 269 #9 – 19 odd,
59 – 67 EOO