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)

Please help and explain. Thank you!

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)

Please help and explain. Thank you!

kj4uts · Answer

attachment

aum · Answer

Domain excludes both +3 AND -3.
So the denominator must have (x-3)(x+3) or (x^2-9)