Assuming f(x)=4x^2/(x^2-1) and g(x)=e^(2x^2-1):
a) No specific equation has been given, so there is nothing to solve. f(x)=0 has solution x=0; g(x)=0 has no solution; f(x)=g(x) has no solution.
b) When y=f(x)=4=4x^2/(x^2-1), x^2=x^2-1, or 0=-1 which is false, so there is no intersection between y=4 and y=f(x).
c) Domains: f(x), all x except x=1 or -1, when f(x) tends to infinity; g(x) is defined for all x.