[tex]\displaystyle\bf\\f(x)=\frac{\sqrt{x-4} }{\sqrt{x+2} } +\frac{4x-3}{x^{2} -7x+6} \\\\\\\left\{\begin{array}{ccc}x-4\geq 0\\x+2 > 0\\x^{2} -7x+6\neq 0\end{array}\right \\\\\\\left\{\begin{array}{ccc}x\geq 4\\x > -2\\(x-1)\cdot(x-6)\neq 0\end{array}\right \\\\\\\left\{\begin{array}{ccc}x\geq 4\\x > -2\\x\neq 1 \ \ , \ \ x\neq 6\end{array}\right \\\\\\Otvet \ : \ D(f)=\Big[4 \ ; \ 6\Big)\cup\Big(6 \ , \ +\infty\Big)[/tex]