Determine the vertical and slant asymptotes of the rational function below. $F ( x ) = \frac { x ^ { 2 } + 5 x + 4 } { x + 3 }$
A) $x = 2,$ $y = x - 3$
B) $x = - 3,$ $y = x + 2$
C) $x = - 3,$ $y = x - 2$
D) $x = 3,$ $y = x + 2$
E) $x = 2,$ $y = x + 3$

Question

Quizplus · Accepted Answer

The vertical asymptote occurs where the denominator is zero, which is $x = -3$. The slant asymptote is found by dividing the numerator by the denominator, resulting in $y = x + 2$.

Determine the Vertical and Slant Asymptotes of the Rational Function F(x)=x2+5x+4x+3F ( x ) = \frac { x ^ { 2 } + 5 x + 4 } { x + 3 }F(x)=x+3x2+5x+4​

Determine the Vertical and Slant Asymptotes of the Rational Function $F ( x ) = \frac { x ^ { 2 } + 5 x + 4 } { x + 3 }$