Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.3 Exercises - Page 344: 60

Answer

Hence, h(t) has no inverse.

Work Step by Step

For h(t) to have an inverse function, it must be a 1-1 function. Since the height of the tide is a cyclical function, it is not a 1-1 for the range of 0 to 24 hours after midnight. Hence, h(t) has no inverse.
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