Suppose that f'(x) > 0 and g'(x) > 0 for all x. What simple additional conditions (if

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Suppose that f'(x) > 0 and g'(x) > 0 for all x. What simple additional conditions (if any) are needed to guarantee that:
(a) f(x) + g(x) is increasing for all x;
(b) f(x) ∙ g(x) is increasing for all x;
(c) f(g(x)) is increasing for all x?

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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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Question Posted: Jun 21, 2016 09:53 AM

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Suppose that f'(x) > 0 and g'(x) > 0 for all x. What simple additional conditions (if

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a f x gx f x gx Since fx 0 and gx 0 for all x fx gx 0 fo...View the full answer

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