let f(x)=3x-6 and g(x)=x-2. find the g/f and state its domain.

[latex]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\}[/latex]

[latex]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[/latex]