1. When finished with quiz…
Pick up a book and read pg. 248, up until you get to the definition of a composite function.

2. Composite Functions
5.1

3. Form and Composite Functions
Given two functions f and g, the composite function, denoted by f ∘ g (read as “f composed with g”) is defined by ( f ∘ g )(x) = f(g(x))
Input x g(x) output f(g(x)) g f

4. Evaluating a Composite Function
Suppose that f(x) = 2x² - 3 and g(x) = 4x, find:
(a) ( f ∘ g )(x) (b) ( g ∘ f )(x) (c) ( f ∘ f )(2) (d) ( g ∘ g )(-1)

5. Evaluating a Composite Function Con’t
Suppose that f(x) = 𝑥 and g(x) = 1 𝑥 , find:
(a) ( f ∘ g )(4) (b) ( g ∘ f )(2) (c) ( f ∘ f )(1) (d) ( g ∘ g )(0)

6. CW:
Pg. 253: 15,17,19