Correct answers only ! what are the asymptotes of the graph of f(x) ? select each correct answer.

(A) y = 15 (B) y = 0

Step-by-step explanation:

The vertical asymptote is the restriction on the x-value.  Since the denominator cannot be equal to zero, then

   1 + 4e⁻⁰⁻²ˣ ≠ 0

→  4e⁻⁰⁻²ˣ ≠ -1  

→   e⁻⁰⁻²ˣ ≠  

→  ln e⁻⁰⁻²ˣ ≠  

Note: ln cannot be negative. So, there is no vertical asymptote.

The horizontal asymptote can be found by finding the limit as x approaches positive and negative infinity.

So, the horizontal asymptote when x → +∞ is y = 15

So, the horizontal asymptote when x → -∞ is y = 0