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

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