Question

Помогите решить пожалуйста

Answer 1

$1)\; \; y=\sqrt{\frac{3x+2}{x-5}}\\\\OOF:\; \; \frac{3x+2}{x-5}\geq 0\; \; ,\; \; 3x+2=0\; \to \; x=-\frac{2}{3}\; \; ;\; \; x-5=0\; \to \; x=5\\\\znaki:\; \; +++[-\frac{2}{3}\, ]---(5)+++\\\\x\in [-\frac{2}{3}\, ,\, 5)\\\\2)\; \; y=\frac{\sqrt{3x+2}}{\sqrt{x-5}}\\\\OOF:\; \; \left \{ {{3x+2\geq 0} \atop {x-5>0}} \right. \; \left \{ {{x\geq -\frac{2}{3}} \atop {x>5}} \right. \; \; \Rightarrow \; \; x>5\\\\x\in (5,+\infty )$