Composition of Functions

Front

Determine which two functions are composed so that f(g(x)) = h(x), where h(x) = (x-3)² - 5. Options: f(x) = x - 3; g(x) = x² - 5, f(x) = (x - 3)²; g(x) = x - 5, f(x) = x - 7; g(x) = (x - 3)²+2, f(x) = x²; g(x) = (x - 3) - 5

Back

f(x) = x - 7; g(x) = (x - 3)²+2

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4

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8

Front

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

Back

182

Front

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(½)).

Back

13/4

Front

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(-2)).

Back

7

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5

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B.

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D.

Front

Find q(p(x)) for p(x) = 3x + 4 and q(x) = 2x².

Back

18x² + 48x + 32