Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.7 - Inverse Functions - 2.7 Exercises - Page 230: 93


See graph

Work Step by Step

The given function $f$ passes the Horizontal Test; therefore it has an inverse. Using the graph, determine the values of $f$ for each of the values of $x\in\{1,3,4,6\}$: $f(1)=1$ $f(3)=2$ $f(4)=6$ $f(6)=7$ So we have the points: $(1,1),(3,2),(4,6),(6,7)$ If $(a,b)$ belongs to the graph of $f$, $(b,a)$ belongs to the graph of $f^{-1}$. In order to determine the inverse $f^{-1}(x)$, we consider the ordered pairs: $(1,1),(2,3),(6,4),(7,6)$ Plot the points and join them.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.