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Function defined on the integers

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The function f: R → R defined by f(x) = 7x is onto because for any real number r, we have that r/7 is a real number and f(r/7) = r. Consider the same function defined on the integers g: Z → Z by g(n) = 7n. Explain why g is not onto Z and give one integer that g cannot output.

Reference no: EM131396759

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