# Maths Paper 1, November 2024, question 5.4

> The graph of f(x)=(-6)/(x-2)-2 is drawn in the diagram below. Marked mark by mark. Q5.4, Maths Paper 1 November 2024, 3 marks.

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Last updated: 2026-11-12

Subject: Maths. Source: Based on Nov 2024 · Paper 1 · Q5.4. Marks: 3. Not yet checked by a teacher.

## Question 5.4 (3 marks)

The graph of $f(x)=\dfrac{-6}{x-2}-2$ is drawn in the diagram below. Its domain is $x\in(-\infty;2)\cup(2;\infty)$. The graph cuts the $y$-axis at $(0;1)$ and the line $g(x)=x-4$ is a line of symmetry of $f$. Determine the values of $x$ for which $f(x)\geq 0$.

Figure: Graph of a hyperbola f with a vertical dashed line x = 2 and a horizontal dashed line y = -2. The left branch rises towards x = 2 and cuts the y-axis at (0; 1); the right branch lies below y = -2. The line g slopes upwards through the point where the dashed lines cross.

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[Answer this question](https://sharpkop.co.za/maths/2024-nov-p1/q5-4/) and see it marked mark by mark, with the reason for every lost mark.

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