Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 1 - Functions - 1.3 Inverse, Exponential, and Logarithmic Functions - 1.3 Exercises - Page 35: 5


$f(x) = 2x$ is a function that is one-to-one and positive for $x \geq 0$. $f(x) = x/2$ is its inverse.

Work Step by Step

To find the inverse of a function switch $x$ with $y$ and solve. $f(x) = 2x$ $x = 2f(x)$ $x/2 = f(x)$ $f(x) = x/2$
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