A Nested Self-Reference

★ 7/10functions Recursion Modular Arithmetic Casework

Problem

A function $f(x)$ satisfies

f(x)=\begin{cases}x-3,&x\geqslant 1000,\\ f(f(x+5)),&x<1000.\end{cases}

Find $f(84)$ .

Answer

Solution

Difficulty	7/10
Topics	functions, Recursion, Modular Arithmetic, Casework

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