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Suppose that f (x) is a concave function and h(x) is a convex function. Is g(x) = f (x) - h(x) is a convex function

Suppose that f (x) is a concave function and h(x) is a convex function. Is g(x) = f (x) - h(x) is a convex function or a concave function? Prove your answer precisely

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