Question: Problem 10. (10 points) If f(a) and g(a) are arbitrary polynomials of degree at most 1, then the mapping (f,g) = f(-2)g(-2) + f(2)g(2) defines

Problem 10. (10 points) If f(a) and g(a) are arbitrary polynomials of degree at most 1, then the mapping (f,g) = f(-2)g(-2) + f(2)g(2) defines an inner product in P2. Use this inner product to find (f, g), Ifll, Ilgll, and the angle of,, between f(a) and g(a) for f(x) = 3x - 9 and g(x) = -4x. f, g) = lI f ll = Ilgll = Of,g (radians). Note: You can earn partial credit on this

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