Edexcel AEA 2016 June — Question 1

Exam BoardEdexcel
ModuleAEA (Advanced Extension Award)
Year2016
SessionJune
TopicComposite & 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.