Question

Have to find the asymptotes for this equation
f(x)=(x^2-9)/ (x-4)
Horizontal Asymptote:
Vertical Asymptote: x=4
Oblique Asymptote: y=x+4
i need the horizontal asymptote and want to make sure if vertical and oblique are fine

Answer 1

take the limit of fx as x goes to infinity

Answer 2

i didnt learn limits as this is algebra..=(

Answer 3

did you learn that if the leading term in the numerator is of greater degree than the denominator.. then there is no HA?

Answer 4

i am not sure...but since we didn't learn limits than this has to be it..

Answer 5

it should be in your book if they are teaching you HA VA and oblique..
pretty much a function behaves like its leading term..
so in N is x^2
in D it is x

Answer 6

n>d so your function will go towards positive andor negative infinity.. so there is no HA

Answer 7

i see

Answer 8

however if your N is on degree larger.. then you get a oblique asymptote

Answer 9

do_0b.ie can you help me in just one last question please...i have already solved it..i just need to confirm my answer as some of it doesnt seem good

Answer 10

in your case it is such

Answer 11

sure.. maybe you can help me with some linear algebra after?

Answer 12

since noone wants to answer my question... (sad)

Answer 13

definitely..=)

Answer 14

i'll try

Answer 15

do you know synthetic division?

Answer 16

a little bit..i prefer long divisions though..

Answer 17

it would have help you in your question.. its much faster.. but you can only use it when you have a binomial with a degree of 1

Answer 18

ooooh...i seee