Give the equation of the slant asymptote, if any, of the function.
-$$f ( x ) = \frac { x ^ { 2 } + 3 x + 9 } { x + 5 }$$
A)none
B)x = y - 2
C)y = x - 8
D)y = x - 2

Question

Quizplus · Accepted Answer

To find the slant (oblique) asymptote of the given rational function, we divide the numerator by the denominator. The division $x^2 + 3x + 9$ by $x + 5$ gives a quotient of $x - 2$ with a remainder. The quotient $x - 2$ represents the equation of the slant asymptote, which is $y = x - 2$.

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