2025 HCI P1 Q1

2025 HCI P1 Q1

4 marks

A curve has equation \(y = x + 1 + \frac{3}{x-1}\). Using differentiation, find the set of values of \(x\) where the curve is strictly decreasing. Give your answers in exact form.[4]

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Answer:\((1-\sqrt3,1)\cup(1,1+\sqrt3)\)

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