Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.3 Exercises - Page 345: 90

Answer

True

Work Step by Step

The y-intercept of a function $k(x)$ is $ Y=k(0)$, the x-intercept is $X$ such that $k(X)=0$ So, $f(0)=X$ $⇒ f^{-1}(f(0)) = f^{-1}(X) $ $ ⇒ f^{-1}(X) =0$ which is, by definition, the x-intercept of the function $f^{-1}(x)$
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