Question

Хелп . 50 . найдите область определения функции (а)​

Answer 1

$1)y=\frac{\sqrt{3x-2} }{x^{2}-x-2}\\\\\left \{ {{3x-2\geq0 } \atop {x^{2}-x-2\neq0}} \right.\\\\\left \{ {{x\geq\frac{2}{3}} \atop {(x-2)(x+1)\neq0 }} \right.\\\\\left \{ {{x\geq\frac{2}{3}} \atop {x\neq2;x\neq-1}} \right.\\\\Otvet:\boxed{ x\in[\frac{2}{3};2)\cup(2;+\infty)}$

$2)y=\frac{\sqrt{x^{2}-3x-4}}{16-x^{2} } \\\\\left \{ {{x^{2}-3x-4\geq0} \atop {16-x^{2}\neq 0 }} \right. \\\\\left \{ {{(x-4)(x+1)\geq0 } \atop {(4-x)(4+x)\neq 0}} \right.\\\\\left \{ {{x\in(-\infty;-1]\cup[4;+\infty)} \atop {x\neq-4;x\neq4 }} \right.\\\\Otvet;\boxed{ x\in(-\infty;-4)\cup(-4;-1]\cup(4;+\infty)}$