Give the equation of the oblique asymptote, if any, of the function.
-$$f ( x ) = \frac { x ^ { 2 } + 8 x + 5 } { x + 4 }$$
A) $x = y + 4$
B) $y = x - 12$
C) $y = x + 4$
D) no oblique asymptotes

Question

Quizplus · Accepted Answer

The oblique asymptote is found by performing polynomial long division on the function. Dividing $x^2 + 8x + 5$ by $x + 4$ gives a quotient of $x + 4$, which is the equation of the oblique asymptote.

Give the Equation of the Oblique Asymptote, If Any, of the Function