Show that if fi(x) and f2(x) are functions from the set of positive integers to the set of real numbers and fi(x) is O(g1(r)) and f2(x) is O(92(x)), then (fif2) (x) is O((g192) (x)). Verify this proposition by giving concrete examples of fi(x), f2(x), g1 (x) and 92(x).

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