Answer :
[tex]f(x)=3x-6;\ g(x)=x-2\\\\\frac{g(x)}{f(x)}=\frac{x-2}{3x-6}=\frac{x-2}{3(x-2)}=\frac{1}{3}\\\\Domain:x\in\mathbb{R}\ \backslash\ \{2\}[/tex]
[tex]f(x)=3x-6\\
\\
g(x)=x-2\\
\\
\frac{g(x)}{f(x)}=\frac{x-2}{3x-6}=\frac{x-2}{3(x-2)}=\frac{1}{3}\\
\\
D\left(\frac{g(x)}{f(x)}\right)= R[/tex]