0\\3x^2-18x<0\end{array}\right\; \; \left\{\begin{array}{l}x>4\\3x(x-6)<0\end{array}\right\; \; \left\{\begin{array}{l}x\in (4;+\infty )\\x\in (0;6)\end{array}\right\\\\\\Otvet:\; \; x\in (4;6)\; .\\\\\\2)\; \; y=\dfrac{\sqrt{x^2-6x+5}}{x-1}\; \; ,\; \; \; \; OOF:\; \left\{\begin{array}{l}x^2-6x+5\geq 0\\x-1\ne 0\end{array}\right" alt="1)\; \; \left\{\begin{array}{l}x-4>0\\3x^2-18x<0\end{array}\right\; \; \left\{\begin{array}{l}x>4\\3x(x-6)<0\end{array}\right\; \; \left\{\begin{array}{l}x\in (4;+\infty )\\x\in (0;6)\end{array}\right\\\\\\Otvet:\; \; x\in (4;6)\; .\\\\\\2)\; \; y=\dfrac{\sqrt{x^2-6x+5}}{x-1}\; \; ,\; \; \; \; OOF:\; \left\{\begin{array}{l}x^2-6x+5\geq 0\\x-1\ne 0\end{array}\right" align="absmiddle" class="latex-formula">
![\left\{\begin{array}{l}(x-1)(x-5)\geq 0\\x\ne 1\end{array}\right\; \; \left\{\begin{array}{l}x\in (-\infty ;\, 1\; ]\cup [\; 5;+\infty )\\x\ne 1\end{array}\right\\\\\\Otvet:\; \; x\in (-\infty ;\, 1\; )\cup [\; 5;+\infty )\; .](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7D%28x-1%29%28x-5%29%5Cgeq%200%5C%5Cx%5Cne%201%5Cend%7Barray%7D%5Cright%5C%3B%20%5C%3B%20%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%5Cin%20%28-%5Cinfty%20%3B%5C%2C%201%5C%3B%20%5D%5Ccup%20%5B%5C%3B%205%3B%2B%5Cinfty%20%29%5C%5Cx%5Cne%201%5Cend%7Barray%7D%5Cright%5C%5C%5C%5C%5C%5COtvet%3A%5C%3B%20%5C%3B%20x%5Cin%20%28-%5Cinfty%20%3B%5C%2C%201%5C%3B%20%29%5Ccup%20%5B%5C%3B%205%3B%2B%5Cinfty%20%29%5C%3B%20. "\left\{\begin{array}{l}(x-1)(x-5)\geq 0\\x\ne 1\end{array}\right\; \; \left\{\begin{array}{l}x\in (-\infty ;\, 1\; ]\cup [\; 5;+\infty )\\x\ne 1\end{array}\right\\\\\\Otvet:\; \; x\in (-\infty ;\, 1\; )\cup [\; 5;+\infty )\; .")