FunctionCeption!

Algebra Level 5

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

Find f(84)f(84).

Image Credit: Wikipedia Penrose Stairs
Parth Lohomi by Parth Lohomi
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