Edexcel AEA 2012 June — Question 1

Exam BoardEdexcel
ModuleAEA (Advanced Extension Award)
Year2012
SessionJune
TopicComposite & 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.