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 concave up for all x;
(b) f(x) ∙ g(x) is concave up for all x;
(c) f(g(x)) is concave up 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 fx gx Since fx 0 and g 0 for all x fx gx 0 for all x No a...View the full answer

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