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.
f( x^n + x^n) = (x^n+x^n)4 = x^8
(2x^n)4 = x^8
n = 2 g(x) = 2 degree