document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028504>Question 1028504</A>: <I><SPAN STYLE=\"word-break: break-all;\"> State the x-coordinate of any holes in the graph of this function:\r<BR>\n" );
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document.write( "f(x)=  8x^2-16x<BR>\n" );
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document.write( "          5x^2-20\r<BR>\n" );
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document.write( "A. 0<BR>\n" );
document.write( "B. 2<BR>\n" );
document.write( "C. 5<BR>\n" );
document.write( "D. -2<BR>\n" );
document.write( "E. None of the above  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643601 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=643601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> E. None of the above.\r<BR>\n" );
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document.write( "One \"hole\" in the graph exists at x = 2.  The graph is a hyperbola with horizontal asymptote y = 8/5 and vertical asymptote x = -2.<BR>\n" );
document.write( "The function can be reduced to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+%288x%29%2F%285%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+%288x%29%2F%285%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E2 ALIGN=MIDDLE  ALT=\"x%3C%3E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The discontinuity at x = -2 cannot be considered a \"hole\", because it is an essential/infinite discontinuity.<BR>\n" );
document.write( "Thus, there is only one \"hole\" in the graph. </SPAN>\n" );
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