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6. Let f: A B be a function. For any subset X of A, we define f(X)={f(z): z X}. Let X and Y be subsets

6. Let f: A B be a function. For any subset X of A, we define f(X)={f(z): z X}. Let X and Y be subsets of A. Prove f(XUY) = f(X)U f(Y)

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