Question: 3 6 Points Let V = C[0,1] be the inner product space of continuous functions defined on [0, 1] with inner product (f, 9) =

3 6 Points Let V = C[0,1] be the inner product space of continuous functions defined on [0, 1] with inner product (f, 9) = [* f(x) 9(x) dx. Set S=Span (1, x), the subspace of V spanned by {1, x}. (a) Find an orthonormal basis for S. (b) Let q = x. Find the linear function p ES that best approximates q. Please simplify p to the form a + bx

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