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: 99

Answer

$f^{-1} (0)$ = 1 $f^{-1} (4)$ = 3

Work Step by Step

For this graph, each value of x has one unique value of y, so the graph of this function $f$ has an inverse. From the graph, $f(x)$ hits the following integer points: $(0, -1) (1, 0 ) (3, 4) (4,5) (6,7)$ To find $f^{-1} (0)$, determine the point that has 0 as a y-coordinate (since inverse switches x and y). In this case, it is (1,0), so $f^{-1} (0) = 1$ Thus, $f^{-1} (4) = 3$ since $f(x)$ contains the point (3,4)
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