Inverse function in integral form

Question

Here is my question:

Suppose my function is defined in terms of Riemann integral in the following form

$$z=g(y)= \int_{}^{}f(x,y)dx$$.

Is there any explicit formula of inverse function $h(z)$; $y=h(z)=h(g(y))$.

I'm sorry if this is a stupid question. Thank you.