Question

Can you help me it’s algebra 2 and I need the answers for like 5 more questions, it’s urgent like really urgent!!!!

Answer 1

Answer:  B) as x → -5  from the left, y → -∞

                    as x → -5 from the right, y → +∞

Step-by-step explanation:

$g(x) =\dfrac{x^2+15x+56}{x+5}\quad =\dfrac{(x+7)(x+8)}{x+5}\\\\\\\text{Evaluate from the left. Let x = -6}\rightarrow \dfrac{(-)(-)}{(-)}=-\\\\\\\text{Evaluate from the right. Let x = -4}\rightarrow \dfrac{(-)(-)}{(+)}=+$

Refer to the graph which confirms that

• from the left, y tends toward -∞

• from the right, y tends toward + ∞