document.write( "Question 46430: find the vertical asymptote of the rational function f(x)=3x-12/ 4x-2 \n" ); document.write( "

Algebra.Com's Answer #30788 by adamchapman(301) $\"\"$ $\"About$

You can put this solution on YOUR website!
An asymptote occurs when rither the function returns an impossible value or infinity.
\n" ); document.write( "This happens when we try and divide by zero, i.e when 4x-2=0.
\n" ); document.write( "4x=2
\n" ); document.write( "x=0.5.
\n" ); document.write( "You can see the asymptotic behaviour of the line tending towards infinity in the graph below:
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+%283x-12%29%2F+%284x-2%29%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "I hope this helps, \r
\n" ); document.write( "\n" ); document.write( "Adam \n" ); document.write( "

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