9.018. $y=\sqrt{\log _{0.3} \frac{x-1}{x+5}}$.
## Solution.

$D(y):\left\{\begin{array}{l}\frac{x-1}{x+5}>0, \\ \log _{0.3} \frac{x-1}{x+5} \geq 0,\end{array}\left\{\begin{array}{l}\frac{x-1}{x+5}>0, \\ \frac{x-1}{x+5} \leq 1, \\ x+5 \neq 0\end{array} \Leftrightarrow\left\{\begin{array}{l}(x-1)(x+5)>0, \\ x+5>0 .\end{array}\right.\right.\right.$

Using the interval method, we find the solution to the system $x>1$.

![](https://cdn.mathpix.com/cropped/2024_05_22_fa9db84b44b98ec0a5c7g-522.jpg?height=138&width=614&top_left_y=1671&top_left_x=269)

Answer: $\quad x \in(1 ; \infty)$.