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Suppose that f and g are both continuous functions. Also f, g € [a, b] and that f= fg. Prove that 3c [a, b] such that f(c) = g(c).

Suppose that f and g are both continuous functions. Also f, g € [a, b] and that f= fg. Prove that 3c [a, b] such that f(c) = g(c).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose that f and g are both continuous functions. Also f, ge [a, b] and b that f f = fg. Prove that 3c € [a, b] such that f(c) = g(c).
Transcribed Image Text:Suppose that f and g are both continuous functions. Also f, ge [a, b] and b that f f = fg. Prove that 3c € [a, b] such that f(c) = g(c).
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