Question

Найдите область определения выражения ​

Answer 1

$\sqrt{1-\frac{2x-1}{3}}+\sqrt{2x-\frac{x}{3}-\frac{2}{15}}=\sqrt{\frac{3-2x+1}{3}}+\sqrt{\frac{30x-5x-2}{15}}=\sqrt{\frac{4-2x}{3}}+\sqrt{\frac{25x-2}{15}}\\\\\\O.O.\; \; \left \{ {{\frac{4-2x}{3}\geq 0} \atop {\frac{25x-2}{15}\geq 0}} \right.\; \; \left \{ {{4-2x\geq 0} \atop {25x-2\geq 0}} \right.\; \; \left \{ {{x\leq 2} \atop {x\geq 0,08}} \right.\; \; \Rightarrow \; \; \; x\in [\, 0,08\; ;\; 2\; ]$