Problem 8. (10 points) If f(a) and g(a) are arbitrary polynomials of degree at most 1, then the mapping (f,g) = f(-1)g(-1) + f(1)g(1) defines an inner product in P2. Use this inner product to find (f, 9), IIfll, Ilgll, and the angle of, between f(x) and g(x) for f(x) = 6x + 2 and g(x) = -4x. (f,g) = ]. lifll = ligll = af,g = (radians). Note: You can earn partial credit on this