document.write( "Question 204384: Sketch the graph of the function defined by f(x)=(1)/(x-3). Give the equation of it's vertical asymptote. \n" ); document.write( "

Algebra.Com's Answer #154296 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Graph:
\n" ); document.write( " $\"f%28x%29+=+1%2F%28x-3%29\"$
\n" ); document.write( " $\"graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C1%2F%28x-3%29%29\"$
\n" ); document.write( "The asymptote occurs at the x-coordinate whose value would make the function, $\"f%28x%29+=+1%2F%28x-3%29\"$ undefined and this would occur at x = 3 because this would make the denominator of the function equal to zero.
\n" ); document.write( "So the asymptote equation is:
\n" ); document.write( " $\"highlight%28x+=+3%29\"$ \n" ); document.write( "

\n" );