Question

Найдите облость определения функции
только 2 и 4 ​

Answer 1

$2)\; \; y=\sqrt{x^2-4x+3}+\sqrt{2x^2-18}\\\\OOF:\; \; \left \{ {{x^2-4x+3\geq 0} \atop {2x^2-18\geq 2}} \right. \; \left \{ {{(x-1)(x-3)\geq 0} \atop {2(x-3)(x+3)\geq 0}} \right.\; \left \{ {{x\in (-\infty ,1\, ]\cup [\, 3,+\infty )} \atop {x\in (-\infty ,-3\, ]\cup [\, 3,+\infty )}} \right. \; \; \; \Rightarrow \\\\x\in (-\infty -3\, ]\cup \{1\}\cup [3\, +\infty )$

$4)\; \; y=\sqrt{5x^2-4x-12}+\sqrt{25-x^2}\\\\OOF:\; \; \left \{ {{5x2-4x-12\geq 0} \atop {25-x^2\geq 0}} \right.\; \left \{ {{5(x-2)(x+\frac{6}{5})\geq 0} \atop {(5-x)(5+x)\geq 0}} \right.\; \left \{ {{x\in (-\infty ,-\frac{6}{5}\, ]\cup [\, 2,+\infty )} \atop {x\in [-5,5\, ]}} \right.\; \; \Rightarrow \\\\x\in [-5\, -\frac{6}{5}\, ]\cup [\, 2,5\, ]$