The inverse function is the function that "undoes".
We can find the inverse function by setting f(x) as y and solving for x in terms of y.
\(y(2x-1)=x\)
\(2xy-y=x\)
\(y = 2xy-x\)
\( y=x(2y-1) \)
\(x=\frac{y}{2y-1}\)
So the inverse function is \(\frac{x}{2x-1}\)