CSEC Additional Mathematics · May/June 2017 · Paper 1 · Question Q9

The functions f and g are defined as follows: f : x \to \frac{x+1}{x-1}, \quad x \ne 1, x \in \mathbb{R} g : x \to 2x + 1, \quad x \ne \frac{1}{2}, x \in \mathbb{R} The function fg(x) is given by

1. (A)\frac{x+1}{x}, \quad x \ne 0, x \in \mathbb{R}
2. (B)\frac{x-2}{x+1}, \quad x \ne -1, x \in \mathbb{R}
3. (C)\frac{x+1}{x+2}, \quad x \ne -2, x \in \mathbb{R}
4. (D)\frac{x-1}{2x+1}, \quad x \ne -\frac{1}{2}, x \in \mathbb{R}