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76 Function Operations 2011
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76 Function Operations
Objectives: Add, subtract, multiply, and divide functions. Find the composite of two functions.
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WarmupEvaluate f(x) = 2x2 5 for the following:
1. f(2)
2. f(1)
3. f(10)
4. f(x 1)
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Let f(x) = 5x2 4x and g(x) = 5x + 1.
Find f + g. Find f g.
Find the domain. Find the domain.
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Find the domain. Find the domain.
Find f + g. Find f g.
Let f(x) = 3x + 8 and g(x) = 2x 12.
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Find the domain. Find the domain.
Find f g.Find g
f
Let f(x) = x2 1 and g(x) = x + 1.
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Find the domain. Find the domain.
Find f g.Find g
f
Let f(x) = 6x2 + 7x 5 and g(x) = 2x 1.
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Composition of Functions
Let f(x) = x 2 and g(x) = x2 .Find (g f)(5)o Find (g f)(3)o
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Composition of FunctionsLet f(x) = x 2 and g(x) = x2 .
Find (f g)(5)o Find (f g)(3)o
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Composition of FunctionsLet f(x) = 2x, g(x) = x2 + 1 and h(x) = x 6.
Find (f g)(1)o Find (h g)(5)o
Find (f h)(2)o Find (g h)(7)o
Find (h f)(2)o Find (f f)(3)o
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Composition of FunctionsLet f(x) = 2x, g(x) = x2 + 1 and h(x) = x 6.
Find (f g)(x)o Find (h f)(x)o
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Critical Thinking:Is a composition of functions commutative? Explain.
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Homework: page 400 #119, 2242 even, 43, 4550, 6368
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