SOLUTION: What is the vertical and horizontal aymptotes of g(x)=(x+7)/(x^2+4)

Algebra ->  Functions -> SOLUTION: What is the vertical and horizontal aymptotes of g(x)=(x+7)/(x^2+4)      Log On


   



Question 773893: What is the vertical and horizontal aymptotes of
g(x)=(x+7)/(x^2+4)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
There are no vertical asymptotes because x^2 + 4 = 0 has no real solutions (only complex/imaginary ones)

Since the degree of the denominator is larger than the degree of the numerator, this means that the horizontal asymptote is y = 0