The problem is to find the inverse function of f expressed as f^-1(x).

f(x)=x/(1+x).

When i start to work on the problem i get stuck at

x=f(y)=y/(1+y)

x(1+y)=y

And i dont see a way to get it to f-1(x).

Somehow it should be f^-1(x)=x/(1-x).

Thankful for any help.