Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Review - Exercises - Page 234: 100

Answer

$f(x)$ does not have an inverse

Work Step by Step

The graph of the function shown does not have an inverse because it is NOT a one-to-one function. For a function to be one-to-one, it must pass the horizontal line test, but in the graph shown, there are two x-values (x=3 and x=6) that lead to the same y-value 4. Thus, you can not find $f^{-1} (0)$ and $f^{-1} (4)$
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