Mathematics - Functions Question with Solution | TestHub

$5|\mathrm{x}|-{\mathrm{x}}^2-6\ge 0\Rightarrow {\mathrm{x}}^2-5|\mathrm{x}|+6\le 0$

when $\mathrm{x}<0,{\mathrm{x}}^2+5\mathrm{x}+6\le 0,-3\le \mathrm{x}\le -2$

when $\mathrm{x}>0,{\mathrm{x}}^2-5\mathrm{x}+6\le 0,2\le \mathrm{x}\le 3$ $\mathrm{x}=0$

will not satisfy the condition.

Domain is $[-3,-2]\cup [2,3]$.