Math Help - Composition function

1. 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?

2. Re: Composition function

Originally Posted by TenaciousE
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)
$\tan \left( {\frac{{\sqrt[3]{x}}}{{\sqrt[3]{x} - 6}}} \right)$