| Exam Board | Edexcel |
| Module | AEA (Advanced Extension Award) |
| Year | 2012 |
| Session | June |
| Topic | Composite & Inverse Functions |
1.The function f is given by
$$\mathrm { f } ( x ) = x ^ { 2 } - 2 x + 6 , \quad x \geqslant 0$$
(a)Find the range of \(f\) .
The function \(g\) is given by
$$\mathrm { g } ( x ) = 3 + \sqrt { } ( x + 4 ) , \quad x \geqslant 2$$
(b)Find \(\operatorname { gf } ( x )\) .
(c)Find the domain and range of gf.