How to find inverse of the function $f(x)=\sin(x)\ln(x)$ My friend asked me to solve it, but I can't.
If $f(x)=\sin(x)\ln(x)$, what is $f^{-1}(x)$?
I have no idea how to find the solution. I try to find
$$\frac{dx}{dy}=\frac{1}{\frac{\sin(x)}{x}+\ln(x)\cos(x)}$$ 
and try to solve it for $x$ by some replacing and other things, but I failed.
Can anyone help? Thanks to all.

This function isn't one-to-one, so you can't inverse it.
