document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209953>Question 1209953</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let F(x) be the real-valued function defined for all real x except for x = 1 and x = 2 and satisfying the functional equation<BR>\n" );
document.write( "F(x) + F \left( \frac{2x - 3}{x - 1} \right) + F \left( \frac{1}{x} \right) = x.<BR>\n" );
document.write( "Find the function F(x) satisfying these conditions.  Write F(x) as a rational function with expanded polynomials in the numerator and denominator.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #851219 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52803)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=851219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Let F(x) be the real-valued function defined for all real x except for x = 1 and x = 2 <BR>\n" );
document.write( "and satisfying the functional equation<BR>\n" );
document.write( "F(x) + F \left( \frac{2x - 3}{x - 1} \right) + F \left( \frac{1}{x} \right) = x.<BR>\n" );
document.write( "Find the function F(x) satisfying these conditions.  <BR>\n" );
document.write( "Write F(x) as a rational function with expanded polynomials in the numerator and denominator.<BR>\n" );
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document.write( "In his post, &nbsp;@CPhill gives the answer to the problem  &nbsp;&nbsp;F(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E3+-+4x%5E2+%2B+2x+%2B+1%29%2F%285x%5E2+-+5x%29 ALIGN=MIDDLE  ALT=\"%282x%5E3+-+4x%5E2+%2B+2x+%2B+1%29%2F%285x%5E2+-+5x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "This answer is incorrect, since this function from the @CPhill's post is defined for all real x except of x= 0 and x= 1,\r<BR>\n" );
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document.write( "while the problem requires the function &nbsp;F(x) &nbsp;to be defined for all real x except for x = 1 and x = 2.\r<BR>\n" );
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