Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.1 Inverse Functions - 4.1 Exercises - Page 406: 6


Fill the blank with ... $(b, a)$ ...

Work Step by Step

Graphing the inverse of a function can be done by reflecting the graph over the line $y=x$. Points (x,y) and (y,x) are symmetric relative to the line $y=x,$ so, as stated in "Important Facts about Inverses" on p.414, 3. If the point $(a, b)$ lies on the graph of $f$, then $(b, a)$ lies on the graph of $f^{-1}$.
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