Evaluate the inverse Laplace transform using convolution theorem where the argument is a function of s

Question

We have from convolution theorem:

If $H(s)=F(s)G(s)$ then $$h(t)=L^{-1}\{F(s)G(s)\}=\int_{u=0}^t f(t-u)g(u)du$$

Here, I want to know if $$H(s)=F(P(s))G(P(s))$$ where $P(s)$ is a function of $s$, then the inverse of $H(s) $ i.e $h(t)$ will be..........?