June 2025 Paper 3 Q2
2 You are given that
\(\mathrm{f}(x) = \dfrac{3}{x}\) on the domain \(\{x : x \in \mathbb{R},\ x \neq 0\}\)
\(\mathrm{g}(x) = x - 1\) on the domain \(\{x : x \in \mathbb{R}\}\).
Find \(\mathrm{gf}(x)\). You must state the domain. [2]
| Scheme | Marks | AO |
|---|---|---|
| \((\mathrm{gf}(x) =)\ \frac{3}{x} - 1\) oe | B1 | 1.1 |
| Domain \(\{x : x \in \mathbb{R},\ x \neq 0\}\) | B1 | 1.1 |
| [2] |
Notes
B1: OR \(\frac{3-x}{x}\)
B1 BOD for \(3/x - 1\) but B0 if ambiguous e.g. \(3 - x/x\)
Mark answers in answer space provided first. If this is blank then mark answer written elsewhere in space.
B1: Or other forms for the domain e.g. \(x \in \mathbb{R},\ x \neq 0\)
Condone missing brackets
Need not use set notation but must have both \(x \in \mathbb{R}\) and \(x \neq 0\)