Question

Determine the horizontal asymptote of the given function. If none exists, state the fact. H(x)=(8x-9)/(x-2)

Answer 1

Question: Determine the horizontal asymptote of the given function. If none exists, state the fact. H(x)=(8x-9)/(x-2).

H = (8x - 9) / (x - 2)

H = (8x - 16 + 7) / (x - 2)

H = 8 + 7/(x-2)

Considering the line above; as x tends to infinity (plus and minus) then H tends to 8.

ie the horizontal asymtote is the line y = 8