SOLUTION: find the vertical asymptote of the rational function: f(x)=3x-12/4x-2

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Question 92930This question is from textbook Algebra and Trigonometry
: find the vertical asymptote of the rational function: f(x)=3x-12/4x-2 This question is from textbook Algebra and Trigonometry

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find the vertical asymptote of:
f%28x%29+=+%283x-12%29%2F%284x-2%29
Notice that, in this function, the denominator will be zero when x = 1/2
4x-2+=+0
4x+=+2
x+=+2%2F4
x+=+1%2F2
The graph of this function has a "discontinuity" at x = 1/2, the line, x = 1/2 is a vertical asymptote.
graph%28600%2C400%2C-5%2C5%2C-5%2C5%2C%283x-12%29%2F%284x-2%29%29