Question

Find the horizontal asymptote of y=1/(x-2) -3

Answer 1

y=-3

Answer 2

thats nice, but how do i find it on my own?

Answer 3

your function is a hyperbola. For it to have a horizontal asymptote,it means that if x goes to +- infinity y should aprouch some kind of value: so take the limit:\[\lim_{x \rightarrow \infty} 1/(x-2) -3 = -3\]
that's it

Answer 4

so as x gets larger it pull 1/x-2 to 0

Answer 5

yes

Answer 6

leaving me -3

Answer 7

right

Answer 8

thanks a ton

Answer 9

you wellcome