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: 4

Answer

$p(x)=(x+4)*\sqrt {10-x}$ with domain $x=10$

Work Step by Step

$h(x)=x+4$ $v(x)=\sqrt {10-x}$ $p(x)=h(x)*v(x)=(x+4)*\sqrt {10-x}$ The domain of $h(x)$ is $x\geq 10$ The domain of $v(x)$ is $[0,10]$ The only number that is both in the domain of $h$ and $v$ is $10$, so that will be the domain of $p$. $1$ is not in the domain of $h$, so it is not in the domain of $p$. Therefore it is not defined in $a=1$
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