OCR MEI Paper 3 2022 June — Question 2

Exam BoardOCR MEI
ModulePaper 3 (Paper 3)
Year2022
SessionJune
TopicComposite & Inverse Functions

2 The function \(\mathrm { f } ( x ) = \sqrt { x }\) is defined on the domain \(x \geqslant 0\).
The function \(\mathrm { g } ( x ) = 25 - x ^ { 2 }\) is defined on the domain \(\mathbb { R }\).
  1. Write down an expression for \(\mathrm { fg } ( x )\).
    1. Find the domain of \(\mathrm { fg } ( x )\).
    2. Find the range of \(\mathrm { fg } ( x )\).