Вариант 9 (номер 4).

Решите задачу:

$y= \frac{ \sqrt{3x^2-x-14} }{2x+5} \\\\OOF:\quad \left \{ {{3x^2-x-14 \geq 0} \atop {2x+5\ne 0}} \right. \; \left \{ {{3(x+2)(x-\frac{7}{3}) \geq 0} \atop {x\ne -\frac{5}{2}}} \right. \; \left \{ {{x\in (-\infty ,-2\, ]\cup [\, \frac{7}{3},+\infty )} \atop {x\ne -2,5}} \right. \\\\+++(-2,5)+++[\, -2\, ]---[\, \frac{7}{3}\, ]+++++\\\\x\in (-\infty ;\, -2,5)\cup (-2,5\, ;-2\, ]\cup [\, \frac{7}{3}\, ;+\infty )$