Question

Вариант 2 8 задание срочно

Answer 1

$f(x)=\sqrt{x^2-x}+\frac{1}{\sqrt{(x-1)(x-2)(x-3)}}\\\\\\OOF:\; \; \left\{\begin{array}{l}x^2-x\geq 0\\(x-1)(x-2)(x-3)>0\end{array}\right\; \; \left\{\begin{array}{l}x(x-1)\geq 0\\(x-1)(x-2)(x-3)>0\end{array}\right\\\\\\a)\; \; x(x-1)\geq 0\; \; ,\; \; \; znaki:\; \; +++[\, 0\, ]---[\; 1\; ]+++\\\\x\in (-\infty ,0\; ]\cup [\; 1,+\infty )\\\\b)\; \; (x-1)(x-2)(x-3)>0\\\\znaki:\; \; ---(1)+++(2)---(3)+++\\\\x\in (1,2)\cup (3,+\infty )$

$c)\; \; \left\{\begin{array}{l}x\in (-\infty ,0\; ]\cup [\; 1,+\infty )\\x\in (1,2)\cup (3,+\infty )\end{array}\right\; \; \; \Rightarrow \; \; \; \; x\in (1,2)\cup (3,+\infty )\\\\\\Otvet:\; \; x\in (1,2)\cup (3,+\infty )\; .$