# 2015 Special

Algebra Level 4

If $$f_{1}(x)=||x|-2|$$ and $$f_{n} (x) =|f_{n-1}(x)-2|$$ for all $$n \geq 2$$, $$n \in \mathbb N$$. Then find number of solutions of the equation $$f_{2015}(x)=2$$.

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