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Determine the vertical asymptote for the rational function f(x)=x-4/2x+3

User Arlenis
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1 Answer

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15 votes

Answer:

Explanation:

Vertical asymptotes exist where there is a problem in the denominator of a fraction. The only time there will be a problem in the denominator is when a value is plugged in that causes it to go to 0. To find the vertical asymptote(s) of a function, set the denominator equal to 0 and solve for x:

2x + 3 = 0 and

2x = -3 so

x = -3/2

The vertical asymptote is the vertical line x = -3/2

User Csgeek
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