Answer
$x\lt1$.
Work Step by Step
$f(x)=x^2+2x-2$
Here $f(x)\lt x^2$, thus $x^2+2x-2\lt x^2\\2x-2\lt0\\2x\lt2\\x\lt1$.
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 - 2.1 Input and Output - Exercises and Problems for Section 2.1 - Exercises and Problems - Page 75: 15
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