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2 problems match “tangent lines”. Clear

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1. Horizontal tangent of a rational function ●●○○○ 20 ptsThe graph of $f(x)=\frac{ax+b}{(x-1)(x-4)}$ has a horizontal tangent line at $(2,-1)$. Determine the values of $a$ and $b$.
2. Rational function with horizontal tangent ●●○○○ 20 ptsThe graph of $g(x) = \frac{ax+b}{(x-1)(x-4)}$ passes through the point $(2,-1)$ and has a horizontal tangent there. Find the values of $a$ and $b$.