Question

Give an example of a rational function that has a horizontal asymptote at y = 1 and a vertical asymptote at
x = 4.

Answer 1

okay you just have to find a function who tends to infinity at x=4 and when x tends infinity y=1 that's it

Answer 2

how do you do that?

Answer 3

okay let me have a equation

y=tanx

as you go to x=pi/2 the y approaches to infinity so we say at x=pi/2 we have a vertical
asymptote .. are you getting what i'm saying?

Answer 4

yes kind of.

Answer 5

wait a sec please

Answer 6

okay try this function 1/y-1=log(x-4)

i think this should be answer to your question.. :)