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If f:(2,-oo) -> [8, oo) is a surjective...

If `f:(2,-oo) -> [8, oo)` is a surjective function defined by `f(x) = x^2 - (p-2)x + 3p-2,p in R` then sum of values of p is `m+sqrtn`, where `m, n in N`. Find the value of `n/m`.

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