Question

Give the equation of the horizontal asymptote of the function shown below.

g(x)=7/(x^2+5)

A. y = 0
B. x = 0
C. y = 7/5
D. y = 7

Answer 1

for p(x)/q(x)
if the degree of p(x) is less than the degree of q(x), the horizontal assemtote is y=0

answer is A

Answer 2

By definition, when we say asymptote, this is a line that the graph of a function approaches but never touches. A horizontal asymptote is the y-value on a graph which a function approaches but never touches. Horizontal asymptotes are approached by the curve of a function as x goes towards infinity. So based on the given function above, the correct answer would be option A. y = 0. Hope this answer helps.