A complete set of approach statements will include information about what happens when $x→∞$ and $x→−∞$. (This will tell us about the location of horizontal asymptotes, if any.) Also, a complete set of approach statements will describe what happens on each side of a hole or vertical asymptote. So the first step will be to determine the location of holes and vertical asymptotes.
$y = \frac{(3x-1)(x+2)}{(3x-1)}=x+2$ with a hole at $=-2$ and no vertical asymptotes.

Now that we have determined the location of holes and vertical asymptotes, we can write a complete set of approach statement:
$x →−∞$, $y →$ __________
$x → −2^−$, $y →$ _________
$x → ∞$, $y →$ __________
$x → −2^+$, $y →$ ________

Use the simplified equation, $y = x + 2$, to evaluate these approach statements.