Question 12 - A-Level Maths

Exam Board	OCR MEI
Module	Paper 2 (Paper 2)
Year	2023
Session	June
Topic	Composite & Inverse Functions

12 It is given that

\(\mathrm { f } ( x ) = \pm \frac { 1 } { \sqrt { x } } , x > 0\)
\(\mathrm { g } ( x ) = \frac { x } { x - 3 } , x > 3\)
\(\mathrm { h } ( x ) = x ^ { 2 } + 2 , x \in \mathbb { R }\).
1. Explain why \(\mathrm { f } ( x )\) is not a function.
2. Find \(\mathrm { gh } ( x )\).
3. State the domain of \(\mathrm { gh } ( x )\).