4.04: Approximate change in a rational function

0606/12/M/J/26 — Question 8 · 5 marks

The variables \(x\) and \(y\) are related by \(y=\dfrac{5x+1}{x-2}\).
Find the approximate change in \(x\) when \(y\) increases from \(4\) to \(4+h\), where \(h\) is small.
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