Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 2 - Functions - Strengthen Your Understanding - Page 114: 36



Work Step by Step

Assume $P = f(t)$ is a function of the population $P$ after $t$ years. Therefore, $t = f^{-1}(P)$. The output of the function is population (in people) while the output of the inverse function is years. This means that the outputs are different, and the statement must be false.
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