Find the value of x at which the curve $y = \frac { 2 x + 1 } { 2 x ^ { 2 } + 7 x + 3 }$ has a vertical asymptote.
A)-4
B)-3
C)-2
D)-1
E) $- \frac { 1 } { 2 }$
F)1
G)2
H)3

Question

Find the value of x at which the curve $y = \frac { 2 x + 1 } { 2 x ^ { 2 } + 7 x + 3 }$ has a vertical asymptote.
A)-4
B)-3
C)-2
D)-1
E) $- \frac { 1 } { 2 }$ 
F)1
G)2
H)3

Quizplus · Accepted Answer

A vertical asymptote occurs where the denominator is zero and the numerator is not zero. Solving $2x^2 + 7x + 3 = 0$ gives $x = -3$ and $x = -\frac{1}{2}$. However, the numerator $2x + 1$ is zero at $x = -\frac{1}{2}$, so the vertical asymptote is at $x = -3$.

Find the Value of X at Which the Curve y=2x+12x2+7x+3y = \frac { 2 x + 1 } { 2 x ^ { 2 } + 7 x + 3 }y=2x2+7x+32x+1​

Find the Value of X at Which the Curve $y = \frac { 2 x + 1 } { 2 x ^ { 2 } + 7 x + 3 }$