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MathNet 1989 — Part 01 Question 9

Math Olympiad Vault · MathNet 1989 — Part 01

Question 9

Let $Z$ be the set of integers. $f: Z \rightarrow Z$ is defined by $f(n) = n - 10$ for $n \gt 100$ and $f(n) = f(f(n+11))$ for $n = 100$. Find the set of possible values of $f$.