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Math Help - Composition function

  1. #1
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    Composition function

    Find FoGoH.
    f(x) = tan x, g(x) = x/(x-6) h(x) = x^(1/3)

    First I did g(h(x)) and I got (x^(2/3) + 6x^(1/3))/(x^(2/3)-36)

    I'm not really sure where to go from here, and I know I'll be lost as soon as I have to plug my result into tanx. Help?
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  2. #2
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    Re: Composition function

    Quote Originally Posted by TenaciousE View Post
    Find FoGoH.
    f(x) = tan x, g(x) = x/(x-6) h(x) = x^(1/3)

    First I did g(h(x)) and I got (x^(2/3) + 6x^(1/3))/(x^(2/3)-36)
    \tan \left( {\frac{{\sqrt[3]{x}}}{{\sqrt[3]{x} - 6}}} \right)
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