Suppose f and g are polynomials, and that h(x)=f(g(x))+g(x). Find the degree of g(x) given that the degree of h(x) is 8 and the degree of f(x) is 4.
g(x) = ?
h(x) =x^8 = g(x)^4 g(x) is degree 2 then raised to the fourth power by f(x) makes h(x) degree eight.