How would you go about finding the domain and range of a composite of functions where, f(x) = ln(1-x^2) and g(x) = (x+2)^1/2

finding f(g(x) we get, ln(-x-1) and finding g(f(x), we get (ln(1-x^2)+2)^1/2.

How would we go about in finding the domain and range of f(g(x) and g(f(x).