The curve $C$ has equation $y=\frac{{{x}^{2}}+ax+b}{x+c}$, where $a$, $b$ and $c$ are constants. The

Question

The curve $C$ has equation $y=\frac{{{x}^{2}}+ax+b}{x+c}$, where $a$, $b$ and $c$ are constants. The line $x=3$ is an asymptote to $C$ and the range of values that $y$ can take is given by $y\le -2$ or $y\ge 4$. Find the values of $a$, $b$ and $c$. [4]

Accepted Answer

$a=-5$, $b=\dfrac{33}{4}$, $c=-3$

Question 107455

Question 107455

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