9231 P11 - Nov 2014 - Q4 - 7 marks
6378
A curve \(C\) has equation \(y=\frac{2 x^{2}+x-1}{x-1}\). Find the equations of the asymptotes of \(C\).
Show that there is no point on \(C\) for which \(1\lt y\lt 9\).
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