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

Algebra.Com's Answer #67627 by Earlsdon(6294) $\"\"$ $\"About$

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

\n" );