Question

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

Answer 1

`f(x)=3x-6\\ \\ g(x)=x-2\\ \\ (g(x))/(f(x))=(x-2)/(3x-6)=(x-2)/(3(x-2))=(1)/(3)\\ \\ D\left((g(x))/(f(x))\right)= R`

Answer 2

`f(x)=3x-6;\ g(x)=x-2\\\\(g(x))/(f(x))=(x-2)/(3x-6)=(x-2)/(3(x-2))=(1)/(3)\\\\Domain:x\in\mathbb{R}\ \backslash\ \{2\}`