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The range of $f(x) = \sqrt{x-5} - \sqrt{24-3x}$ is ______.

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A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

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Official solution

It is easy to see that $f(x)$ is increasing on its domain $[5, 8]$. Therefore, its range is $[-3, \sqrt{3}]$.

Source: MathNet, licensed CC-BY-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.