Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 2 - Functions - 2.5 Preview of Composite and Inverse Functions - Exercises and Problems for Section 2.5 - Skill Refresher - Page 101: S11

Answer

$t^2-t$

Work Step by Step

The following expression can be written as $$(1-t)^2-(1-t)=(1-t)[(1-t)-1]$$ using the distributive property. Simplify the expression in the brackets to get $$(1-t)(-t)$$ Use the distributive property again to get $$-t(1-t)=-t(1)-t(-t)=t^2-t$$
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