If f(1) and g(1) are arbitrary polynomials of degree at most 2, then the mapping (f,g) = f(-1)g(-1)+ f(0)g(0) + f(3)g(3) defines an inner product in P2. Use this inner product to find (f, 9), ||f|l, Ilg|l, and the angle af.g between f(z) and g(1) for f(x) = 2x² + 3x + 4 and g(x) = 3z2 - 5z - 9. (f, g) = ||f|| = l9|| %3D afg =

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