document.write( "Question 292537: What is vertical asympototes and holes of the equation f(x)=3x-1/3x^2+5x-2? \n" ); document.write( "

Algebra.Com's Answer #211473 by Fombitz(32388) $\"\"$ $\"About$

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First simplify the function if possible by factoring the denominator.
\n" ); document.write( "The vertical asymptotes occur when the denominator goes to zero, since division by zero is undefined.
\n" ); document.write( " $\"3x%5E2%2B5x-2=%283x-1%29%28x%2B2%29\"$
\n" ); document.write( " $\"%283x-1%29%2F3x%5E2%2B5x-2=%283x-1%29%2F%28%283x-1%29%28x%2B2%29%29=1%2F%28x%2B2%29\"$
\n" ); document.write( "The vertical asymptote occur when the denominator goes to zero since division by zero is undefined.
\n" ); document.write( " $\"x%2B2=0\"$
\n" ); document.write( " $\"x=-2\"$
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\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+%283x-1%29%2F%283x%5E2%2B5x-2%29%29+\"$ \n" ); document.write( "

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