# Another Functional Equation Past Time

Algebra Level pending

Given that for $$x \in \mathbb{R} , x \neq 1, -1$$,

$f \left (\frac{x-3}{x+1} \right ) + f \left (\frac{3+x}{1-x} \right) = x$,

$$f(2)$$ can be expressed as $$-\frac{m}{n}$$ where $$m, n$$ are relatively prime. Find $$m+n$$.

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