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Warm-Up
Homework Questions
Composition/Decomposition
Ask good questions – you have a QUIZ today and this stuff is on it!
Composition of Functions Let and Find f(g(x)) and g(f(x))
( ) xf x e ( )g x x
Composition of Functions: f(x) = x – 2 g(x) = x2
Find (f o g)(2)
Find (g o f)(-3)
More Composition: f(x) = 2x – 3 g(x) = 4x + 5
Find (f o g)(x)
Find (g o f)(x)
More Composition: f(x) = x2 – 1 g(x) = √x
Find (f o g)(x)
Find (g o f)(x)
More Composition: f(x) = 2x + 1 g(x) = 3x2
h(x) = –x – 1 Find f(g(h(x)))
Find h(g(f(x)))
Decomposing Functionsaka – opposite of composition For h(x), find f(x) and g(x) such that
h(x) = f(g(x))
4)1(3)1()( 2 xxxh
Decomposing Functionsaka – opposite of composition For h(x), find f(x) and g(x) such that
h(x) = f(g(x))
1)( 3 xxh
QUIZ!
NO TALKINGNO LOOKING AROUNDNO CELL PHONES
Homework P. 128 (11-20) Bring in a 2 pocket folder by Monday!
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