College Algebra (11th Edition)

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

Chapter 4 - Review Exercises - Page 468: 12

Answer

The given statement is true.

Work Step by Step

Each x-value corresponds to only one y-value and each y-value corresponds to only one x-value in a one to one function. Consider a one to one function f. The function of f in $(f\circ{g})(x)=x$ for every x in the domain of g and $(g\circ{f})(x)=x$ for every x in the domain of f. Thus, every x-intercept of the graph of $y=f(x)$ is a y-intercept of the graph of $x=f^{-1}(x)$. Therefore the given statement is true.
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