ĐKXĐ: \(\left\{{}\begin{matrix}x\ge m-2\\x\ne m\\x< m+5\\\end{matrix}\right.\)
\(\Rightarrow x\in D=[m-2;m)\cup\left(m;m+5\right)\)
Hàm xác định khi \((1;3]\subset D\)
\(\Rightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}m>3\\m-2< 1\end{matrix}\right.\\\left\{{}\begin{matrix}m< 1\\m+5>3\end{matrix}\right.\end{matrix}\right.\) \(\Rightarrow-2< m< 1\)