document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=801871>Question 801871</A>: <I><SPAN STYLE=\"word-break: break-all;\"> We have recently started working with finding vertical asymptotes in class and I came across a problem in my homework that I am not sure how to approach. I have to find the vertical asymptote of g(x)=(2x-1)(x+2)/(2x+3)(3x-4)   If you could please help me I would appreciate it. Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #483665 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=483665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=%28%282x-1%29%28x%2B2%29%29%2F%28%282x%2B3%29%283x-4%29%29%29+ ALIGN=MIDDLE  ALT=\"g%28x%29=%28%282x-1%29%28x%2B2%29%29%2F%28%282x%2B3%29%283x-4%29%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "Vertical asymptote are zeros  of denominator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%2B3%29%283x-4%29%29+ ALIGN=MIDDLE  ALT=\"%28%282x%2B3%29%283x-4%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "\n" );
document.write( "set the denominator to zero and solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B3%29%283x-4%29=0 ALIGN=MIDDLE  ALT=\"%282x%2B3%29%283x-4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ....it will be equal to zero if either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B3%29=0 ALIGN=MIDDLE  ALT=\"%282x%2B3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x-4%29=0 ALIGN=MIDDLE  ALT=\"+%283x-4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B3%29=0 ALIGN=MIDDLE  ALT=\"%282x%2B3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=-3 ALIGN=MIDDLE  ALT=\"2x+=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=-3%2F2 ALIGN=MIDDLE  ALT=\"x+=-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=-1.5 ALIGN=MIDDLE  ALT=\"x+=-1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x-4%29=0 ALIGN=MIDDLE  ALT=\"+%283x-4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x=4 ALIGN=MIDDLE  ALT=\"+3x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=4%2F3 ALIGN=MIDDLE  ALT=\"+x=4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=1.33 ALIGN=MIDDLE  ALT=\"+x=1.33\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C++blue%28line%28-1.5%2C10%2C-1.5%2C-10%29%29%2Cblue%28line%281.33%2C10%2C1.33%2C-10%29%29%2C+grid%280%29%2C%0D%0Agraph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%28%282x-1%29%28x%2B2%29%29%2F%28%282x%2B3%29%283x-4%29%29%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );