Answer
$a \geq 2$ and $a \leq-2$.
Work Step by Step
$$
\begin{aligned}
12-2 a^2 \leq & a^2 \\
12 \leq & 3 a^2\\
4\leq & a^2\\
\end{aligned}
$$
This is true when $a \geq 2$ and $a \leq-2$.
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 - Skill Refresher - Page 82: S11
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