Знайти область визначення функції:

Решите задачу:

$y= \frac{4}{\sqrt{x^2+3x-10}} + \frac{1}{3x-9}\\\\OOF:\; \left \{ {{x^2+3x-10\ \textgreater \ 0} \atop {3x-9\ne 0}} \right. \; \left \{ {{(x+5)(x-2)\ \textgreater \ 0} \atop {x\ne 3}} \right. \; \left \{ {{x\in (-\infty ,-5)\cup (2,+\infty )} \atop {x\ne 3}} \right. \; \Rightarrow \\\\\boxed{x\in (-\infty ,-5)\cup (2,3)\cup (3,+\infty )}\\\\\\P.S.\; \; (x+5)(x-2)\ \textgreater \ 0\quad +++(-5)---(2)+++\\\\x\in (-\infty ,-5)\cup (2,+\infty )$