document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=995666>Question 995666</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have tried very hard to solve this problem, but I'm stuck. Please help me solve this problem:\r<BR>\n" );
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document.write( "g(x) = x -2  ,  f(x) = 3x - 2  ,  find x such that g(g(x)) = f(f(x)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #614350 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=614350\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+x+-2 ALIGN=MIDDLE  ALT=\"g%28x%29+=+x+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+3x+-+2 ALIGN=MIDDLE  ALT=\"f%28x%29+=+3x+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ,  \r<BR>\n" );
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document.write( "find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > such that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28g%28x%29%29+=+f%28f%28x%29%29 ALIGN=MIDDLE  ALT=\"g%28g%28x%29%29+=+f%28f%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28g%28x%29%29+=+g%28x+-2%29 ALIGN=MIDDLE  ALT=\"g%28g%28x%29%29+=+g%28x+-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28g%28x%29%29+=+%28x+-2%29-2 ALIGN=MIDDLE  ALT=\"g%28g%28x%29%29+=+%28x+-2%29-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28g%28x%29%29+=+x+-2-2 ALIGN=MIDDLE  ALT=\"g%28g%28x%29%29+=+x+-2-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28g%28x%29%29+=+x+-4 ALIGN=MIDDLE  ALT=\"g%28g%28x%29%29+=+x+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28f%28x%29%29+=+f%283x+-+2%29 ALIGN=MIDDLE  ALT=\"f%28f%28x%29%29+=+f%283x+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28f%28x%29%29+=+3%283x+-+2%29+-+2 ALIGN=MIDDLE  ALT=\"f%28f%28x%29%29+=+3%283x+-+2%29+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28f%28x%29%29+=+9x+-+6+-+2 ALIGN=MIDDLE  ALT=\"f%28f%28x%29%29+=+9x+-+6+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28f%28x%29%29+=+9x+-+8 ALIGN=MIDDLE  ALT=\"f%28f%28x%29%29+=+9x+-+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28g%28x%29%29+=+f%28f%28x%29%29 ALIGN=MIDDLE  ALT=\"g%28g%28x%29%29+=+f%28f%28x%29%29\"   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=+x+-4+=+9x+-+8 ALIGN=MIDDLE  ALT=\"+x+-4+=+9x+-+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+-4+=+9x+-+x ALIGN=MIDDLE  ALT=\"+8+-4+=+9x+-+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+=+8x ALIGN=MIDDLE  ALT=\"+4+=+8x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%2F8=x ALIGN=MIDDLE  ALT=\"+4%2F8=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28x=1%2F2%29 ALIGN=MIDDLE  ALT=\"+highlight%28x=1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+x+-2 ALIGN=MIDDLE  ALT=\"g%28x%29+=+x+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+1%2F2+-2 ALIGN=MIDDLE  ALT=\"g%28x%29+=+1%2F2+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+-3%2F2 ALIGN=MIDDLE  ALT=\"g%28x%29+=+-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28g%28x%29%29=g%28-3%2F2%29+ ALIGN=MIDDLE  ALT=\"g%28g%28x%29%29=g%28-3%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28g%28x%29%29=%28-3%2F2%29-2+ ALIGN=MIDDLE  ALT=\"g%28g%28x%29%29=%28-3%2F2%29-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28g%28x%29%29=%28-3%2F2%29-4%2F2+ ALIGN=MIDDLE  ALT=\"g%28g%28x%29%29=%28-3%2F2%29-4%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28g%28x%29%29=-7%2F2+ ALIGN=MIDDLE  ALT=\"g%28g%28x%29%29=-7%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+3x+-+2 ALIGN=MIDDLE  ALT=\"f%28x%29+=+3x+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+3%281%2F2%29-+2 ALIGN=MIDDLE  ALT=\"f%28x%29+=+3%281%2F2%29-+2\"   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=f%28x%29+=+3%2F2-+4%2F2 ALIGN=MIDDLE  ALT=\"f%28x%29+=+3%2F2-+4%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+-+1%2F2 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28f%28x%29%29=f%28-+1%2F2%29 ALIGN=MIDDLE  ALT=\"+f%28f%28x%29%29=f%28-+1%2F2%29\"   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=+f%28f%28x%29%29=3%28-+1%2F2%29-2 ALIGN=MIDDLE  ALT=\"+f%28f%28x%29%29=3%28-+1%2F2%29-2\"   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=+f%28f%28x%29%29=-+3%2F2-4%2F2 ALIGN=MIDDLE  ALT=\"+f%28f%28x%29%29=-+3%2F2-4%2F2\"   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=+f%28f%28x%29%29=-+7%2F2 ALIGN=MIDDLE  ALT=\"+f%28f%28x%29%29=-+7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28g%28x%29%29+=+f%28f%28x%29%29 ALIGN=MIDDLE  ALT=\"g%28g%28x%29%29+=+f%28f%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F2 ALIGN=MIDDLE  ALT=\"x=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );