Mathegoras

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Rational function with horizontal tangent

High school · ●●○○○ 20 pts

The graph of g(x)=ax+b(x−1)(x−4)g(x) = \frac{ax+b}{(x-1)(x-4)} passes through the point (2,−1)(2,-1) and has a horizontal tangent there. Find the values of aa and bb.

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