Answer
$e^x+C$
Work Step by Step
We know from the exercise that $D_x(f(x))=e^x$. The pre-image here is the "inverse" of the derivative; thus we can obtain it by integrating $e^x$ with respect to $x$, which is $e^x+C$, where $C$ is a constant.
Elementary Linear Algebra 7th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
1-13311-087-8
ISBN 13:
978-1-13311-087-3
Chapter 6 - Linear Transformations - 6.1 Introduction to Linear Transformations - 6.1 Exercises - Page 301: 62
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