Sketch the graphs of $y=4\left| 3-x \right|$ and $y=\frac{2x-6}{3x+4}$ on the same diagram, indicati

Question

Sketch the graphs of $y=4\left| 3-x \right|$ and $y=\frac{2x-6}{3x+4}$ on the same diagram, indicating clearly the equations of any asymptotes and the coordinates of any intersections between the two graphs. [3] Hence solve the inequality $2\left| 3-x \right|\le \frac{x-3}{3x+4}$. [2]

Accepted Answer

$\left\{x \in \mathbb{R}: -\frac{3}{2} \leq x < -\frac{4}{3} \text{ or } x = 3\right\}$

2022 TJC J1 MYE Q1

2022 TJC J1 MYE Q1

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