Find the​ vertical, horizontal, and oblique​ asymptotes, if​ any, for the following rational function. R(x)= 17x/ x+19

Find the oblique asymptotes. Select the correct choice below​ and, if​ necessary, fill in the answer​ box(es) to complete your choice.

1 answer

The vertical asymptote is x = -19.
There is no horizontal asymptote as the degree of the numerator is equal to the degree of the denominator.
The oblique asymptote can be found by dividing the numerator by the denominator:
(17x) / (x+19) = 17 + (323 / (x+19))

Therefore, the oblique asymptote is y = 17.