Edexcel AEA 2014 June — Question 1

Exam BoardEdexcel
ModuleAEA (Advanced Extension Award)
Year2014
SessionJune
TopicComposite & Inverse Functions

1.The function f is given by $$\mathrm { f } ( x ) = \ln ( 2 x - 5 ) , \quad x > 2.5$$ (a)Find \(\mathrm { f } ^ { - 1 } ( x )\) . The function g has domain \(x > 2\) and $$\operatorname { fg } ( x ) = \ln \left( \frac { x + 10 } { x - 2 } \right) , \quad x > 2$$ (b)Find \(\mathrm { g } ( x )\) and simplify your answer.