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Math Help - functional decomposition

  1. #1
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    functional decomposition

    I would like help decomposeing a function involving exponents. here it is

    H(x)=f(g(x))

    if H(x)= (5x+3)^5

    Would acceptable solutions be

    f(x)=(x+3)^5 and g(x)=5x

    or would you need to factor. any info on how to solve this problem would be much help.
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  2. #2
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    Quote Originally Posted by diver15 View Post
    I would like help decomposeing a function involving exponents. here it is
    H(x)=f(g(x))
    if H(x)= (5x+3)^5
    Would acceptable solutions be
    f(x)=(x+3)^5 and g(x)=5x
    Yes that works. So does f(x)=x^5~\&~g(x)=5x+3
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