8. Let g : [a, b] → R (with a < b) be continuous and nonnegative. If f g = 0, show that g = = 0 on [a, b].

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 26E: 26. Let and. Prove that for any subset of T of .
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8. Let g : [a, b] → R (with a < b) be continuous and nonnegative. If f g = 0,
show that g = 0 on [a, b].
Transcribed Image Text:a 8. Let g : [a, b] → R (with a < b) be continuous and nonnegative. If f g = 0, show that g = 0 on [a, b].
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