\[\boxed{\mathbf{100}\text{.\ }\text{ОК\ ГДЗ\ -\ домашка\ на\ 5}}\]
\[\textbf{а)}\ \ y = \frac{5}{|x - 1|}\]
\[|x - 1| \neq 0\]
\[x \neq 1.\]
\[D(y) = ( - \infty;1) \cup (1; + \infty).\]
\[\textbf{б)}\ y = \frac{\sqrt{x - 1}}{x - 2}\]
\[1)\ x - 2 \neq 0\]
\[x \neq 2.\]
\[2)\ x - 1 \geq 0\]
\[x \geq 1.\]
\[D(y) = \lbrack 1;2) \cup (2; + \infty).\]