N2017 P1 Q2

N2017 P1 Q2

6 marks
Past Year National Exams
Free
  1. On the same axes, sketch the graphs of \(y=\frac{1}{x-a}\) and \(y=b\left| x-a \right|\), where \(a\) and \(b\) are positive constants.[2]
  2. Hence, or otherwise, solve the inequality \(\frac{1}{x-a} < b\left| x-a \right|\).[4]

Video Solution:

Default solution

Timothy Gan
  1. List item image
  2. List item image
Answer:(ii) \({x < a}\) or \({x > a + \sqrt{\frac{1}{b}}}\)

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