Question 2

A function is defined on the set of positive integers such that if $$𝑛$$ is an odd integer, $$𝑓(𝑛) = 𝑛 βˆ’ 1$$ and if $$𝑛$$ is an even integer, $$𝑓(𝑛) = n^{2} - 1$$. Determine the sum of all possible values of 𝑛 such that $$𝑓(𝑓(𝑛)) = 99$$.


Correct Answer: 11

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