# Composition function

• August 27th 2011, 09:23 AM
TenaciousE
Composition function
Express the function in the form f o g. (Use only elementary functions, but not the identity function, g(x) = x.)

F(x) = (x^(1/3))/(7+x^(1/3))

f(x) = ?
g(x) = ?

I'm not sure I understand the question. Do they want me create a function for g(x) and f(x) that will make F(x)?
• August 27th 2011, 09:31 AM
Prove It
Re: Composition function
Quote:

Originally Posted by TenaciousE
Express the function in the form f o g. (Use only elementary functions, but not the identity function, g(x) = x.)

F(x) = (x^(1/3))/(7+x^(1/3))

f(x) = ?
g(x) = ?

I'm not sure I understand the question. Do they want me create a function for g(x) and f(x) that will make F(x)?

It would help if you recognise that $\displaystyle \frac{x^{\frac{1}{3}}}{7 + x^{\frac{1}{3}}}$ is a function of $\displaystyle x^{\frac{1}{3}}$...