Answer
$a=-3$
Work Step by Step
We know that the domain of the function, $m(r)=\sqrt{r-a},$,is all real numbers greater than and equal to negative 3. The term $r-a\geq 0$ or $r\geq a$. Hence $a=-3$.
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 2 - Functions - 2.2 Domain and Range - Exercises and Problems for Section 2.2 - Exercises and Problems - Page 82: 26
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