Functions Modeling Change: A Preparation for Calculus, 5th Edition

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



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: $$f(f(1)=1^4+4\cdot \:1^2+6 =11$$
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