OCR MEI Paper 2 2019 June — Question 9

Exam BoardOCR MEI
ModulePaper 2 (Paper 2)
Year2019
SessionJune
TopicComposite & Inverse Functions

9 You are given that
\(\mathrm { f } ( x ) = 2 x + 3 \quad\) for \(x < 0 \quad\) and
\(\mathrm { g } ( x ) = x ^ { 2 } - 2 x + 1\) for \(x > 1\).
  1. Find \(\mathrm { gf } ( x )\), stating the domain.
  2. State the range of \(\mathrm { gf } ( x )\).
  3. Find (gf) \({ } ^ { - 1 } ( x )\).