CSEC Additional Mathematics · 2015 · Paper 1 · Question Q8

Functions f and g are defined by f : x \rightarrow 2x - 5 \text{ and } g : x \rightarrow 4 + \frac{3}{x}, x \neq 0. The composite function gf is defined by

1. (A)gf : x \rightarrow \frac{8x - 17}{2x - 5}, x \neq \frac{5}{2}
2. (B)gf : x \rightarrow 3 + \frac{6}{x}, x \neq 0
3. (C)gf : x \rightarrow \frac{6}{x} - 5, x \neq 0
4. (D)gf : x \rightarrow \frac{8x - 20}{2x - 5}, x \neq \frac{5}{2}