Question

найдите область определения функции:√((x^2+2x+1)/(x-1)

Answer 1

$y=sqrt{frac{x^2+2x+1}{x-1}}=sqrt{frac{(x+1)^2}{x-1}}=frac{|x+1|}{sqrt{x-1}}\\Tak; kak; |x+1| geq 0; ; pri; ; xin R,; to; sqrt{x-1} textgreater 0; Rightarrow \\x-1 textgreater 0,; ; ; x textgreater 1\\xin (1,+infty )\\ili\\frac{(x+1)^2}{x-1} geq 0; ,; ; ; ----[-1, ]----(1)++++\\xin (1,+infty )$