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urgent urgent algebra / precalculas

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1. Given a function,H(x)explain how to find the components f(X)AND g(x) such that f(g(x)) = H(x)

2. let H(x)=(2x+5)^4 find the function f and , so that f(g(X))=H(x)

  • urgent urgent algebra / precalculas -

    I would let
    g(x) = 2x+5 , and
    f(x) = x^4

    check:
    f(x) = x^4
    f(g(x)) = f(2x+5) = (2x+5)^4

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