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 - 2.5 Preview of Composite and Inverse Functions - Exercises and Problems for Section 2.5 - Exercises and Problems - Page 103: 49

Answer

$t=\frac{9}{5} H+32 $ gives us the temperature in degrees Fahrenheit if we know the temperature in degrees Celsius.

Work Step by Step

We can find the inverse function by solving for $t$ in our equation: $$ \begin{aligned} H & =\frac{5}{9}(t-32) \\ \frac{9}{5} H & =t-32 \\ t& =\frac{9}{5} H+32 \end{aligned} $$ $t=\frac{9}{5} H+32 $ gives us the temperature in degrees Fahrenheit if we know the temperature in degrees Celsius.
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