# $$f(x)$$ this immediately!

Algebra Level 4

Let $$f(x) + 5f\left(\dfrac{1}{1-x}\right) = \dfrac{1}{x}$$ for for all real $$x\in \mathbb R \backslash \{ 0,1\}$$. If $$f(5) = \dfrac ab$$, where $$a$$ and $$b$$ are coprime positive integers, find $$a+b$$.

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