| Exam Board | Edexcel |
| Module | AEA (Advanced Extension Award) |
| Year | 2014 |
| Session | June |
| Topic | Composite & 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.