Answer
$\bf{False}$
Work Step by Step
$(f+g) (t+m+n)=f(t+m+n)+g(t+m+n)\\=f[(t+n)+m]+g[(t+m)+n]\\=f(t+n)+g(t+m)$
Therefore, the given statement is $\bf{False}$.
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Chapter 10 - The Laplace Transform and Some Elementary Applications - 10.2 The Existence of the Laplace Transform and the Inverse Transform - True-False Review - Page 685: f
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