# Composition function

• Aug 25th 2011, 01:46 PM
TenaciousE
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?
• Aug 25th 2011, 01:53 PM
Plato
Re: Composition function
Quote:

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)

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