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Homework Questions

Composition/Decomposition

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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

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Homework P. 128 (11-20) Bring in a 2 pocket folder by Monday!

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