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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