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 - Review Exercises and Problems for Chapter Two - Page 109: 14

Answer

Domain: all real numbers $r>1$ or $r<-1$ Range: all real numbers $m(r)>0$

Work Step by Step

To evaluate $m(r)$, we must have $r^2-1>0$. This happens when $r>1$ or $r<-1$. So the domain is all real numbers $r$, such that $r>1$ or $r<-1$. Since the square root of a number cannot be negative, the range is all positive real numbers, $m(r)>0$.
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