Question

Give an example of a rational function that has a horizontal asymptote at y = 0 and a vertical asymptote at, x = 2 and x = 1.

Answer 1

x^2/x-1 i think .

Answer 2

1/[(x-2) (x-1)]

Answer 3

so i should just write 1/[(x-2) (x-1)]

Answer 4

An example of a rational function that has a horizontal asymptote at y = 0 and a vertical asymptote at, x = 2 and x = 1.
horizontal asymptote at y = 0
vertical asymptote at x = 2 and x = 1
meaning that id have to use (x-2) as well as (x-1)
and using a one on top of the division would give me the result that i want, which is a rational function that has a horizontal asymptote at y = 0 and a vertical asymptote at, x = 2 and x = 1.
1/[(x-2) (x-1)]

Answer 5

what proof can i give?

Answer 6

Nevermind you are right, the degree of the denoinator has to be greater than the numerator.

Answer 7

you don't need 2 in the numerator.
f(x) = 1 / [( x -2)(x-1) ]
is fine

Answer 8

yes sorry i misread it . its late :|

Answer 9

what proof do i have, like how can i know that putting a 1 in front will give me my answer

Answer 10

and no worries, thanks for helping me

Answer 11

for large x, the denominator grows to infinity.
and 1 / infinity gets close to zero