Edexcel C34 2017 June — Question 3

Exam BoardEdexcel
ModuleC34 (Core Mathematics 3 & 4)
Year2017
SessionJune
TopicComposite & Inverse Functions

3. The function g is defined by $$g ( x ) = \frac { 6 x } { 2 x + 3 } \quad x > 0$$
  1. Find the range of g .
  2. Find \(\mathrm { g } ^ { - 1 } ( x )\) and state its domain.
  3. Find the function \(\operatorname { gg } ( x )\), writing your answer as a single fraction in its simplest form.