expansion of an inverse function



I have defined a function  f(x):= "expression".  I know this function is odd 
and strictly increasing and is analytic so it has an analytic inverse, g(x): 
f(g(x))=x,  g(f(x))=x.  How do I use wxMaxima to compute some of the Taylor 
coefficients for g(x)?  I do not have a simple expression for g(x).  (I 
realize one can do this by hand, at least for a few terms, but there ought 
to be a way to automate this via wxMaxima and get a lot of terms.)
kbe