Edexcel Paper 2 2021 October — Question 2

Exam BoardEdexcel
ModulePaper 2 (Paper 2)
Year2021
SessionOctober
TopicComposite & Inverse Functions

  1. The functions f and g are defined by
$$\begin{aligned} & f ( x ) = 7 - 2 x ^ { 2 } \quad x \in \mathbb { R }
& \operatorname { g } ( x ) = \frac { 3 x } { 5 x - 1 } \quad x \in \mathbb { R } \quad x \neq \frac { 1 } { 5 } \end{aligned}$$
  1. State the range of f
  2. Find gf (1.8)
  3. Find \(\mathrm { g } ^ { - 1 } ( x )\)