1. Section 9.1 Composite and Inverse Functions  Composite Functions (f◦g)(x)=f(g(x))  Inverses and 1-to-1 Functions  Finding Formulas for Inverses  Graphing Functions and Their Inverses  Inverse Functions and Composition 9.11

2. Two Functions: Concept and Notation for Composition 9.12

3. Women’s Shoe Sizes 9.13

4. Is Composition Commutative? 9.14

5. Inverses and One-to-One Functions 9.15

6. Does an Inverse Function Exist? Tests for One-To-One Functions 9.16

7. Thinking about Inverse Functions  Do all Linear Functions have Inverse Functions?  All except Horizontal and Vertical Lines  What about Quadratic Functions (Parabolas)?   No: y=4 fails HLT 9.17

8. Inverse Function Notation: f -1 (x) 9.18

9. Graphing Functions & Their Inverses 9.19

10. Consider g(x) = x 3 + 2 and g -1 (x)  Is g(x) one-to-one? 9.110

11. Inverse Functions and Composition 9.111

12. What Next? Exponential Functions  Present Section 9.2 Present Section 9.2 9.112