Funky Function

Algebra Level 5

Let $$f(x)$$ be a real valued function defined on $$x \in \mathbb{R}, x\neq 0, 1$$ such that for all real values of $$x$$, $f(x) + f\left( \frac {x-1} {x} \right) = \frac{1}{x}.$ $$f(-4) = \frac {a} {b}$$, where $$a$$ and $$b$$ are coprime integers. What is $$a + b$$?

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