Question

Help.

Find the slant asymptote of the function
f(x)=36 x^2 - 12 x - 51 / 6 x+ 6
I have been having the hardest time understanding asymptotes

Answer 1

Long division. Find the quotient of
\[\frac{36x^2-12x-51}{6x+6}\]
Drop the remainder term and you're left with the slant asymptote.

Answer 2

so i i would just do long division and instead of including the remainder in my answer I would just leave it out?

Answer 3

Yes, the polynomial part you're left with is the same as the line that forms the slant asymptote.

Answer 4

thank you

Answer 5

You're welcome