Question

найти область определения функции:
$\sqrt[]{[x](x-1)}$

Answer 1

$y=\sqrt{|x|\cdot (x-1)}\\\\OOF:\; \; \; |x|\cdot (x-1)\geq 0\\\\|x|\geq 0\; \; pri\; \; x\in (-\infty ,+\infty )\; \; \Rightarrow \\\\|x|\cdot (x-1)\geq 0\; \; pri\; \; x-1\geq 0\; \; \Rightarrow \; \; x\geq 1\\\\x\in [\, 1,+\infty )\\\\D(y)=[\, 1,+\infty )$