Unit 2

Composition from a Graph

Objectives

• I can perform function composition from a graph

Function CompositionNotation

Another way to write this is

( )( )f g x

( ( ))f g x

OR f[g(x)]

evaluating with Function Composition

EX 4: f(x) = x2 + 1 g(x) = 2x

Start with g(x) & find g(3). Put that answer in to f(x).

g(3) = 6

f(6) = 37

( )(3)f g

( )(3)f f

( )(4)f f

( )( 2)f f

4

2

DNE

( )f x ( )g x

( (4))f g 3

( (1.5))f g 4( ( 7))f g 0

Homework

• WS 2-5• Quiz next class