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N2013 P1 Q3

N2013 P1 Q3

Junior College 2
6 marks
  1. Sketch the curve with equation \(y=\frac{x+1}{2x-1}\), stating the equations of any asymptotes and the coordinates of the points where the curve crosses the axes.[4]
  2. Solve the inequality \(\frac{x+1}{2x-1}<1\).[2]

Solution:

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Answer:(i) Asymptotes \(x=1/2,y=1/2\); intercepts \((-1,0),(0,-1)\). (ii) \(x<1/2\) or \(x>2\).

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