1. Composition of Functions
Chapter 1 Section 8
Composition of Functions

2. OPERATIONS: ADD: (f + g) (x) = f(x) + g(x)
SUBTRACT: (f – g) (x) = f(x) – g(x)
PRODUCT: (fg) (x) = f(x)  g(x)
QUOTIENT: (f/g) (x) = f(x)/g(x)
Must find the domains for quotient

3. Examples:
1.) f(x) = 2x +1 g(x) = -3x +4

4. Examples
2.) f(x) = x2 +4
g(x) = 5x-2

5. Examples
3.) f(x) = -2x – 4 g(x) = 3x (f + g) (-2) = (fg) (3) =

6. COMPOSITIONS
f(x) = x2 – 1
f(2) = (2)2 – 1
f(g(x)) = (g(x))2 -1

7. EXAMPLES-composition
1.) f(x) = 2x +1
g(x) = -3x +4
2.) f(x) = x2 +4
g(x) = 5x-2

8. Classwork
Pg 89 # 9, 11, odd, 31, 34