Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Section 9.3 - Exponential Functions - Exercise Set - Page 560: 76

Answer

The line $x=2^y$ is the inverse of the line $y=2^x$.

Work Step by Step

The blue line is $y=2^x$, and the black line is $x=2^y$. Two points on the blue line are $(0,1)$ and $(2,4)$. Two points on the black line are $(1,0)$ and $(4,2)$. Since the coordinates of points on the black line are the reversed coordinates of points on the blue line, then the black line is the inverse function of the
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