We are given the following functions f : Z → Z × Z, f(x) = (x^2, x^3).  (a) Find images f({1, 2, 3}) and f(N). (b) Find those preimages f^−1({1, 2, 3, 4}) and f^−1({(1, −1),(4, 8)}) that are welldefined.

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