9.127. $y=\sqrt[4]{2-\lg |x-2|}$. 

 

The translation is as follows:

9.127. $y=\sqrt[4]{2-\lg |x-2|}$.

 

This is the direct translation, preserving the original format and line breaks.
## Solution.

We have the inequality $2-\lg |x-2| \geq 0, \lg |x-2| \leq 2 \Leftrightarrow 0 < |x-2| \leq 100$
\[
\begin{array}{l}
\Leftrightarrow \left\{\begin{array}{l}
0 < |x-2| \leq 100 \\
x - 2 \neq 0
\end{array} \Leftrightarrow \left\{\begin{array}{l}
-100 \leq x - 2 \leq 100, \\
x - 2 \neq 0
\end{array} \Leftrightarrow \left\{\begin{array}{l}
-98 \leq x \leq 102 \\
x \neq 2
\end{array}\right.\right.\right.
\end{array}
\]

Answer: $x \in[-98 ; 2) \cup(2 ; 102]$.