# Not too Complicated

Algebra Level 4

Let $$f(x) = \frac{x-1}{x+1}$$ and $$f^{n}(x)$$ denote the $$n-\text{fold}$$ composition of $$f$$ with itself. That is, $$f^1(x) =f(x)$$ and $$f^n(x) = f(f^{n-1}(x))$$. Find $$f^{2007}(2)$$.

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