Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - P.S. Problem Solving - Page 240: 12c

Answer

x; no

Work Step by Step

$f(x)=\frac{1}{1-x}$ f(f(x))=$\frac{1}{1-(\frac{1}{1-x})}=\frac{x-1}{x}$, f(f(f(x)))=$f(\frac{x-1}{x})=\frac{1}{1-(\frac{x-1}{x})}=x$, x cannot be zero or 1 (domain calculation) The graph is not a line as x cannot be 0 or 1.
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