Give the equations of any vertical, horizontal, or oblique asymptotes for the graph of the rational function. State the domain of $f$ .
$f (x) = \frac{3 - 2 x}{4 x + 2}$

Identify any vertical asymptotes. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. There is one vertical asymptote. Its equation is $◻$ .
(Type an equation. Use integers or fractions for any numbers in the equation.)
B. There are two vertical asymptotes. The equation of the leftmost one is $◻$ and the equation of the rightmost one is $◻$ .
(Type equations. Use integers or fractions for any numbers in the equations.)
c. There areno vertical asymptotes.

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Final Answer: $x = - \frac{1}{2}$

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Step 1 ：The vertical asymptotes of a rational function occur where the denominator is equal to zero and the numerator is not equal to zero. So, we need to solve the equation $4 x + 2 = 0$ .

Step 2 ：Solving the equation $4 x + 2 = 0$ , we get $x = - \frac{1}{2}$ .

Step 3 ：Therefore, there is one vertical asymptote at $x = - \frac{1}{2}$ .

Step 4 ：Final Answer: $x = - \frac{1}{2}$

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