CAIE P1 2021 November — Question 3

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2021
SessionNovember
TopicComposite & Inverse Functions

3 The function f is defined as follows: $$\mathrm { f } ( x ) = \frac { x + 3 } { x - 1 } \text { for } x > 1$$
  1. Find the value of \(\mathrm { ff } ( 5 )\).
  2. Find an expression for \(\mathrm { f } ^ { - 1 } ( x )\).