MathCastle
OlympiadSuperchallengeOlympiad Number Theory

Olympiad Number Theory · Superchallenge problem

A function f:Z→Zf:\mathbb Z\to\mathbb Z satisfies f(f(n))=n+4f(f(n)) = n + 4 for all integers nn, and f(0)=2f(0) = 2. Compute f(10)f(10).