Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 1 - Section 1.2 - Functions and Models - Exercises - Page 71: 2

Answer

$d(x)=x-x^2-2$ with domain all real numbers. $d(-1)=-4$

Work Step by Step

$f(x)=x^2+1$ $g(x)=x-1$ $d(x)=x-1-(x^2+1)=x-1-x^2-1=x-x^2-2$ The domain of $f(x)$ and $g(x)$ is all real numbers, so that will be the domain of $d(x)$ too. $d(-1)=-1-(-1)^2-2=-1-1-2=-4$
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