SPS SPS SM Pure 2021 June — Question 4

Exam BoardSPS
ModuleSPS SM Pure (SPS SM Pure)
Year2021
SessionJune
TopicComposite & Inverse Functions

4. The function f is defined by $$\mathrm { f } ( x ) = \frac { 3 x - 7 } { x - 2 } \quad x \in \mathbb { R } , x \neq 2$$
  1. Find \(f ^ { - 1 } ( 7 )\)
  2. Show that \(\mathrm { ff } ( x ) = \frac { a x + b } { x - 3 }\) where \(a\) and \(b\) are integers to be found.