Let fl (x) and hex) be functions from the set of real

Chapter 3, Problem 3.2.37

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Let fl (x) and hex) be functions from the set of real numbers to the set of positive real numbers. Show that if fl (x) and f2 (X) are both 8(g(x , where g(x) is a function from the set of real numbers to the set of positive real numbers, then fl(x) + hex) is 8(g(x . Is this still true if fl (x) and f2 (X) can take negative values?

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