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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Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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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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