On the same axes, sketch the graphs of $y=\frac{x}{x-a}$ and $y=2\left| x-a \right|+1$, where&nb

Question

On the same axes, sketch the graphs of $y=\frac{x}{x-a}$ and $y=2\left| x-a \right|+1$, where $a$ is a positive constant.[3] Hence solve the inequality $\frac{x}{x-a}>2\left| x-a \right|+1$, leaving your answer in terms of $a$.[3]

Accepted Answer

(ii) $a < x < a+\frac{\sqrt{2a}}{2}$

2022 RI P1 Q1

2022 RI P1 Q1

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