Question

Which function has the following characteristics?

A vertical asymptote at x = 3
A horizontal asymptote y = 2
Domain: {x =/ +-3} (plus and minus 3)

A. y= (2x-8)/(x-3)
B. y=(x^2-9)/(x^2-4)
C. y= (2x^2-18)/(x^2-4)
D. y= (2x^2-8)/(x^2-9)

Im thinking it's either A. or D. just not sure?

Please help and explain. Thank you!

Answer 1

could x = -3 work in A?

Answer 2

could x = -3 work in D?

Answer 3

hint, look at the denominator and factor and set each factor equal to 0 in order to find what restrictions must be place on the domain.