1. The problem statement, all variables and given/known data Suppose f(x) and g(x) are non-zero polynomials with real coefficients, such that f(g(x))=f(x)⋅g(x). If g(2)=37, what is g(3)? 2. Relevant equations 3. The attempt at a solution I have no idea where to begin this with. At x=2, f(g(2))=f(2).g(2) f(37)=37f(2) What should I do with this equation? I cannot even guess any function which would satisfy the above condition. Any help is appreciated. Thanks!