Answer
See below.
Work Step by Step
Let $x=2$ and $y=3$, then $T(x+y)=T(5)=a+b+c+1$.
But $T(x)=a+b+c+1$ and $T(y)=a+b+c+1$, thus $T(x)+T(y)=2(a+b+c+1)\ne a+b+c+1=T(x+y)$.
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 6 - Linear Transformations - 6.1 Definition of a Linear Transformation - Problems - Page 389: 9
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
