Mark M. answered • 08/19/23
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f(g(x)) = (6x + 7)2 + 4
Meghan W.
asked • 08/19/23Combinations of Functions
Let f(x)=x^2+4 and g(x)=6x+7. Evaluate and simplify the following:
f(g(x))=
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Steve M. answered • 08/19/23
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- Since g(x) = 6x + 7
- f(g(x)) = f(6x+7).
- Since f(x) = (x^2) + 4
- f(6x+7) = ((6x+7)^2) + 4 = (36(x^2) + 2*42x + 49) + 4 = 36x^2 + 84x + 53
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