Question

Give the equation of the horizontal asymptote shown below.

g(x)=7x^2/x^2+5
A. y= 7/5
B. y=7
C. y=5
D. x=7

Answer 1

the answer on a*p*e*x is y=7

Answer 2

Polynomial division yields


`(7x^2)/(x^2+5)=7-(35)/(x^2+5)`

As
`x\to\pm\infty`, you have the remainder term approaching
`0`, so the horizontal asymptote is the line
`y=7`.