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

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

by VJesus12 » Wed Feb 23, 2022 4:16 am

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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.