2015 NJC P1 Q7 (a)
2015 NJC P1 Q7 (a)
4 marks
Prelims
It is given that the curve \(C\) has equation
\(y=\frac{(x-1)(x-2)}{x-3},\mathrm{ }x\in \mathbb{R},\mathrm{ }x\ne 3.\)
Use an algebraic method to find exactly the set of values that \(y\) can take.[4]
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Answer:\(y\le 3-2\sqrt{2}\) or \(y\ge 3+2\sqrt{2}\)
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