Let f1(x) and f2(x) be functions from the set of real

Chapter 2, Problem 43E

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QUESTION:

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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QUESTION:

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?

ANSWER:

Solution:Step 1:The objective of this question, is this still true if f1 (x) and f2(x) can take negative values

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