5. Let V be the vector space of all continuous functions on [1,5]; that is, V = C[1,5]. -5 Let W be the subset of V such that W = {f(x) EV: P(x)dr: a subspace of V? Determine this by answering the questions below. (a) Is f(x) = 0 € W? (b) If f(r), g(x) = W, is f(x) + g(x) = W? (c) If k € R, and f(x) = W, is kf(x) ≤ W? r)dr = 0}. Is . Is W

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