1. Honors Precalculus October 24, 2016 Mrs. Agnew
Composite Functions

2. Essential Question Essential Vocabulary
How do you perform operations on functions?
Essential Vocabulary
Function
Function Composition
Domain

3. Operations on Functions
Adding/Subtracting functions
combine like terms
Multiplying functions
FOIL or distribute functions
Divide functions
Cancel like terms on top and bottom of fraction

4. Composition of Functions
One function is the input of another function.
Plug “inside” function into x in “outside” function.

5. Domain of Functions
The domain of a function includes all of the x values that can be plugged into x.
In a composite function, the domain includes restrictions of all functions involved in the composition. (The original functions and the composite.)
Guided Practice

6. Homework:
Pages
# 8, 10, 17, 32, 38, 40, 44