College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 4 - Section 4.1 - Inverse Functions - 4.1 Exercises: 87

Answer

$f^{-1}(-3)=-2$

Work Step by Step

The inverse of a function differs from the original function in that all the x-coordinates and y-coordinates have been switched. To find the value of $f^{-1}(-3)$, we have to find the corresponding x-coordinate to $y=-3$ in the original $f(x)$ function and switch the coordinates. We can see, that in the graph of $f(x)$, when $y=-3$, the value of $x$ is $x=-2$. Therefore $f^{-1}(-3)=-2$.
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