garciavanessa1015101 garciavanessa1015101
  • 19-07-2021
  • Mathematics
contestada

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

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Luv2Teach
Luv2Teach Luv2Teach
  • 20-07-2021

Answer:

Step-by-step 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

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