Edexcel FP2 2008 June — Question 6

Exam BoardEdexcel
ModuleFP2 (Further Pure Mathematics 2)
Year2008
SessionJune
TopicModulus function

6. (a) Find, in the simplest surd form where appropriate, the exact values of \(x\) for which $$\frac { x } { 2 } + 3 = \left| \frac { 4 } { x } \right|$$ (b) Sketch, on the same axes, the line with equation \(y = \frac { x } { 2 } + 3\) and the graph of \(y = \left| \frac { 4 } { x } \right| , \quad x \neq 0\).
(c) Find the set of values of \(x\) for which \(\frac { x } { 2 } + 3 > \left| \frac { 4 } { x } \right|\).
(2)(Total 10 marks)