11.1 Composition of Functions

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CCSS.HSF-BF.A.1C

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34

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CCSS.HSF-BF.A.1C

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Evaluate f(g(0)) for f(x) = 3x + 10 and g(x) = x - 2

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4

Answer explanation

g(0)= (0) -2= -2

f(-2)= 3(-2) + 10

= -6+10

= 4

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CCSS.HSF-BF.A.1C

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If f(x) = 3x-1 and g(x) = x²+2, what is (f ° g)(x) ?

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3x² +5

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CCSS.HSF-BF.A.1C

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15

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CCSS.HSF-BF.A.1C

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f(x) = 3x + 10; g(x) = x - 2; Find f(g(5))

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19

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CCSS.HSF-BF.A.1C

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7

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CCSS.HSF-BF.A.1C

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34

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CCSS.HSF-BF.A.1C

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For f(x) = 2x²-1, what is (f ° f)(-2) ?

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97

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CCSS.HSF-BF.A.1C

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Find (g∘h)(x) for g(x)=3x+4 and h(x)=3x-1

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9x+1

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CCSS.HSF-BF.A.1C