Answer
$y>3$ or $y<-3$.
Work Step by Step
$$
\begin{aligned}
y^2-3> & 15-y^2 \\
2 y^2>& 18\\
y^2>& 9\\
\end{aligned}
$$
This is true when $y>3$ or $y<-3$.
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 - Skill Refresher - Page 82: S12
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