Answer: B) as x → -5 from the left, y → -∞
as x → -5 from the right, y → +∞
Step-by-step explanation:
[tex]g(x) =\dfrac{x^2+15x+56}{x+5}\quad =\dfrac{(x+7)(x+8)}{x+5}\\\\\\\text{Evaluate from the left. Let x = -6}\rightarrow \dfrac{(-)(-)}{(-)}=-\\\\\\\text{Evaluate from the right. Let x = -4}\rightarrow \dfrac{(-)(-)}{(+)}=+[/tex]
Refer to the graph which confirms that
- from the left, y tends toward -∞
- from the right, y tends toward + ∞
