FunctionCeption!

Algebra Level 5

The function \(f\) is defined on the set of integers and satisfies \(f(n)=\begin{cases} n-3&\mbox{if}\ n\ge 1000\\ f(f(n+5))&\mbox{if}\ n<1000\end{cases}\)

Find \(f(84)\).

Image Credit: Wikipedia Penrose Stairs
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