Answer
True
Work Step by Step
We first find the inverse function:
$$f(f(x))=\left(x^2+2\right)^2+2\\ f(f(x))=x^4+4x^2+6$$
Thus:
$$f(f(1)=1^4+4\cdot \:1^2+6 =11$$
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 10 - Compositions, Inverses, and Combinations of Functions - Strengthen Your Understanding - Page 430: 15
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