Edexcel P3 2023 January — Question 1

Exam BoardEdexcel
ModuleP3 (Pure Mathematics 3)
Year2023
SessionJanuary
TopicComposite & Inverse Functions

  1. The functions f and g are defined by
$$\begin{array} { l l l } \mathrm { f } ( x ) = 9 - x ^ { 2 } & x \in \mathbb { R } & x \geqslant 0
\mathrm {~g} ( x ) = \frac { 3 } { 2 x + 1 } & x \in \mathbb { R } & x \geqslant 0 \end{array}$$
  1. Write down the range of f
  2. Find the value of fg(1.5)
  3. Find \(\mathrm { g } ^ { - 1 }\)