SOLUTION: Find the vertical asymptotes, if any, for the following function. Please show all of your work. f(x) = -2x(x+2)/4x²-3x-7

Algebra ->  Functions -> SOLUTION: Find the vertical asymptotes, if any, for the following function. Please show all of your work. f(x) = -2x(x+2)/4x²-3x-7       Log On


   



Question 465233: Find the vertical asymptotes, if any, for the following function. Please show all of your work.
f(x) = -2x(x+2)/4x²-3x-7

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the vertical asymptotes, if any, for the following function. Please show all of your work.
f(x) = -2x(x+2)/4x²-3x-7
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f(x) = -2x(x+2)/4x²-3x-7
To find vertical asymptotes, set denominator to 0, then solve for x
4x^2-3x-7=0
(x+1)(4x-7)=0
x+1=0
x=-1
4x-7=0
4x=7
x=7/4
..
Vertical Asymptotes:
x=-1
x=7/4