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Math Help - Functions

  1. #1
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    Functions

    Given :

    f(x) = 5x + 3, x > 0
    g(x) = 3/x , x > 0
    gg(x) = x, x > 0
    h(x) = 25x + 18, x > 0

    express h in terms of one or both f and g.

    The answer that I was given is h(x) = 6f(x) - 5 gg(x). Is it possible to also express h as h(x) = f(5x) + 15??

    Thank you in advance!
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  2. #2
    o_O
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    h(x) = 25x + 18

    {\color{blue}f(5x)} + 15 = {\color{blue}5(5x) + 3} + 15 = 25x + 18 = h(x)

    Looks good to me.
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