# Malfunction Funcion

Level pending

$$f(x)$$ is a degree $$7$$ polynomial such that, for all natural values of $$x = 1 \rightarrow 8$$, $$f(x) =x^{-1}$$.

The value of $$f(0)$$ can written as an irreducible fraction $$\dfrac{a}{b}$$. Evaluate $$a-b$$.

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