document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=908541>Question 908541</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the vertical asymptotes,if exist,of the following functions. <BR>\n" );
document.write( "a) f(x)=5x/(3x^2+4)<BR>\n" );
document.write( "b) g(x)=12x^2-3/(4x^2-8) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #551094 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39621)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=551094\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a)  has no vertical asymptote because the denominator will never be zero.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(b)  will have a vertical asymptotes for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-8=0 ALIGN=MIDDLE  ALT=\"4x%5E2-8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-2=0 ALIGN=MIDDLE  ALT=\"x%5E2-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=2 ALIGN=MIDDLE  ALT=\"x%5E2=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-sqrt%282%29 ALIGN=MIDDLE  ALT=\"x=-sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > AND <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%282%29 ALIGN=MIDDLE  ALT=\"x=sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(The \"AND\" for the two vertical asymptotes for (b).  ) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );