Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 2 - Section 2.3 - Functions - Exercises - Page 153: 28

Answer

Show that the function f (x) = $e^x$ from the set of real numbers to the set of real numbers is not invertible, but if the co-domain is restricted to the set of positive real numbers, the resulting function is invertible.

Work Step by Step

F is bijective and hence invertible
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