Question

identify the oblique asymptote of f(x)=x^2-4x+8/x+2

Answer 1

just divide

Answer 2

So I would just need to divide the 8 etc by the 2?

Answer 3

its a rational expression right, like below :-

x^2-4x+8
---------
x+2

Answer 4

so you need to divide entire numerator wid deniminator

Answer 5

_____________
x+2| x^2-4x+8

Answer 6

Oh I see. I got x-2. Is that correct?

Answer 7

try again

Answer 8

its just a simple long division

Answer 9

x-6
_____________
x+2| x^2-4x+8
x^2+2x
------------
-6x+8
-6x-12
-------------
20

Answer 10

So, \(y = x-6 \) is your oblique asymptote

Answer 11

And what would we do with the 20?

Answer 12

discard it, while finding oblique asymptote we oly take the top part. remainder we discard

Answer 13

Thank you a bunch. Now i can also do the rest!

Answer 14

np :) glad to hear you can do the rest urself :)