Is there a function difference similar to vector difference?

Question

Let's define $f(x)$ and $g(x)$ as two functions on the same domain, both functions having the same range. We've also defined $f°g$ as the composition of two functions, namely $f°g$ being equivalent to $f(g(x))$. Is there a difference $h$ being the difference of $f$ and $g$ such that $h = f¤g => g°h = f$?