Has a vertical asymptote at $x = 4$.

At $x = 3$, $f\left(x\right) = −2$.

As $x → 4^{−}$, $f\left(x\right) → ∞$.

As $x → 4^{+}$, $f\left(x\right) → −∞$

Has a horizontal asymptote at $y = 3$.

Has $y$-intercept at $−2$.

As $x → ∞$, $g\left(x\right) → −∞$.

Domain of all real numbers.