Higher November 2018 Paper 2 Q26
26 \(\text{f}(x) = \dfrac{x}{x + 2} \qquad \text{g}(x) = x^2 - 2\)
Work out \(\quad \text{fg}(x)\)
Give your answer in the form \(\quad a + bx^n \quad\) where \(a\), \(b\) and \(n\) are integers. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{x^2 - 2}{x^2 - 2 + 2}\) or \(\dfrac{x^2 - 2}{x^2}\) | M1 | |
| \(\dfrac{x^2}{x^2} - \dfrac{2}{x^2}\) or \(1 - \dfrac{2}{x^2}\) | A1 | implied by correct final answer must be two terms oe eg \(x^2x^{-2} - 2x^{-2}\) |
| \(1 - 2x^{-2}\) or \(a = 1\) and \(b = {-2}\) and \(n = {-2}\) | A1 |