If f and g are in E(0, ∞), then L[ f g] = L[ f ]∗ L[g]

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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 If f and g are in E(0, ∞), then L[ f g] = L[ f ]∗ L[g] 

 

I need help showing that this statement is false. Please, do not provide the answer involving just the Convolution Theorem, since that alone doesn't prove this statement false.

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