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Let f: R R and let f(x) > 0 for all .x R. Show f(x) is
Chapter 1, Problem 25E(choose chapter or problem)
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.
Questions & Answers
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 .