Let f1(x) and f2(x) be functions from the set of real numbers to the set of positive real numbers. Show that if f1(x) and f2(x) are both ⊝ (g(x)), where g(x) is a function from the set of real numbers to the set of positive real numbers, then f1(x) + f2(x) is ⊝(g(x)). Is this still true if f1 (x) and f2(x) can take negative values?
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