CR-MO 2015 F1

A function $f$ defined on integers such that $f (n) =n + 3$ if $n$ is odd $f (n) = \frac{n}{2}$ if $n$ is even

If $k$ is an odd integer, determine the values for which $f (f (f (k))) = k$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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