The function $f$ is defined for all positive integers $n > 4$ as $f(n) = 3n - 9$ if $n$ is odd and - The Beat The GMAT Forum

The function $f$ is defined for all positive integers $n > 4$ as $f(n) = 3n - 9$ if $n$ is odd and $f(n) = 2n - 7$ if $n$ is even. What is the value of the positive integer $a?$

(1) $f(f(a)) = a$

(2) $f(f(f(a)))$ is odd.

Answer: C

Source: Manhattan GMAT

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