SOLUTION: What is vertical asympototes and holes of the equation f(x)=3x-1/3x^2+5x-2?

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Question 292537: What is vertical asympototes and holes of the equation f(x)=3x-1/3x^2+5x-2?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First simplify the function if possible by factoring the denominator.
The vertical asymptotes occur when the denominator goes to zero, since division by zero is undefined.
3x%5E2%2B5x-2=%283x-1%29%28x%2B2%29
%283x-1%29%2F3x%5E2%2B5x-2=%283x-1%29%2F%28%283x-1%29%28x%2B2%29%29=1%2F%28x%2B2%29
The vertical asymptote occur when the denominator goes to zero since division by zero is undefined.
x%2B2=0
x=-2
.
.
.
+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+%283x-1%29%2F%283x%5E2%2B5x-2%29%29+