# Thread: Function equation, two unknown functions of x

1. ## Function equation, two unknown functions of x

Hi there. I didn't know where to post this, so I postet it here.

Two functions $f(x)$ and $g(x)$ are such that

$f(g(x))^{-1}=\frac{f(x)}{2x}$

$g(f(x))=2\cdot f(g(x))$