| Exam Board | Edexcel |
| Module | AEA (Advanced Extension Award) |
| Year | 2016 |
| Session | June |
| Topic | Composite & Inverse Functions |
1.The function f is given by
$$\mathrm { f } ( x ) = x ^ { 2 } - 4 x + 9 \quad x \in \mathbb { R } , x \geqslant 3$$
(a)Find the range of f .
The function g is given by
$$\operatorname { g } ( x ) = \frac { 10 } { x + 1 } \quad x \in \mathbb { R } , x \geqslant 4$$
(b)Find an expression for \(\operatorname { gf } ( x )\) .
(c)Find the domain and range of gf.