document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=921512>Question 921512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello!<BR>\n" );
document.write( "I need to find algebraically the point where the curves cross. I don't understand how to do it. The functions I have are f'(x)= 12x-1 and g'(x) = 2x.<BR>\n" );
document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #559015 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=559015\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> They cross where the two functions' values are equal.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "They meet or cross if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=g%28x%29 ALIGN=MIDDLE  ALT=\"f%28x%29=g%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x-1=2x ALIGN=MIDDLE  ALT=\"12x-1=2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x-1=0 ALIGN=MIDDLE  ALT=\"10x-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x=1 ALIGN=MIDDLE  ALT=\"10x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F10 ALIGN=MIDDLE  ALT=\"x=1%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The vertical coordinates will also be equal where g and f intersect, so use either function to evaluate this vertical axis component.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=2x ALIGN=MIDDLE  ALT=\"g%28x%29=2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%281%2F10%29=2%281%2F10%29 ALIGN=MIDDLE  ALT=\"g%281%2F10%29=2%281%2F10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%281%2F10%29=1%2F5 ALIGN=MIDDLE  ALT=\"g%281%2F10%29=1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The intersection point for f and g is  ( 0.10, 0.20 ). </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );