Let f: R R and let f(x) > 0 for all .x R. Show f(x) is

Chapter 1, Problem 25E

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QUESTION:

Let f: R ? R and let f(x) > 0 for all .x ? R. Show f(x) is strictly decreasing if and only if the function g(x) = 1/f(x) is strictly increasing.

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QUESTION:

Let f: R ? R and let f(x) > 0 for all .x ? R. Show f(x) is strictly decreasing if and only if the function g(x) = 1/f(x) is strictly increasing.

ANSWER:

Solution :Step 1: In this problem we have to show that f(x) is strictly decreasing if and only if the function g(x) = 1/f(x) is strictly increasing .

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