If f1(x) and f2(x) are functions from the set of positive integers to the set of positive

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If f1(x) and f2(x) are functions from the set of positive integers to the set of positive real numbers and f1(x) and f2 (x) are both (g(x)), is (f1 ˆ’ f2)(x) also (g(x))? Either prove that it is or give a counterexample.

If f1(x) and f2(x) are functions from the set of
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