document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=762384>Question 762384</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, Please help..\r<BR>\n" );
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document.write( "a: On the one set of axes sketch the graph of {{y = f (x)}} and <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29=+f%5E-1%28x%29 ALIGN=MIDDLE  ALT=\"+f%28x%29=+f%5E-1%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where domain is from 0 to infinity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=+x%5E2+ ALIGN=MIDDLE  ALT=\"f%28x%29=+x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b: find the coordinates of the points for which <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+f%5E-1+%28x%29 ALIGN=MIDDLE  ALT=\"+f%28x%29+=+f%5E-1+%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I solve part a but I have difficulty solving part b:  here is my working:\r<BR>\n" );
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document.write( "a)  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+%28x%29+=+x%5E2 ALIGN=MIDDLE  ALT=\"f+%28x%29+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+x%5E2 ALIGN=MIDDLE  ALT=\"+y+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+y%5E2 ALIGN=MIDDLE  ALT=\"+x+=+y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+x+=+y ALIGN=MIDDLE  ALT=\"+sqrt+x+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" >  I sketched the graph ok\r<BR>\n" );
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document.write( "b)  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+=+sqrt+x+ ALIGN=MIDDLE  ALT=\"+x%5E2+=+sqrt+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=+x+=+x+ ALIGN=MIDDLE  ALT=\"+x+=+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  How do I find the coordinate of the point x??<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 #463926 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=463926\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E%28-1%29%28x%29 ALIGN=MIDDLE  ALT=\"f%5E%28-1%29%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the same as the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29 ALIGN=MIDDLE  ALT=\"f%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but exchanging the x- and y-axes. You could also say that one graph is the reflection of the other across the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x ALIGN=MIDDLE  ALT=\"y=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > diagonal line.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-1%2C9%2C-1%2C9%2Cx%5E2%2Csqrt%28x%29%2Cx%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-1%2C9%2C-1%2C9%2Cx%5E2%2Csqrt%28x%29%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Of course, the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E%28-1%29%28x%29=sqrt%28x%29 ALIGN=MIDDLE  ALT=\"f%5E%28-1%29%28x%29=sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  is only for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=0 ALIGN=MIDDLE  ALT=\"x%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "From <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=sqrt%28x%29 ALIGN=MIDDLE  ALT=\"x%5E2=sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, squaring both sides we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4=x ALIGN=MIDDLE  ALT=\"x%5E4=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=0 ALIGN=MIDDLE  ALT=\"x%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(You do not get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=x ALIGN=MIDDLE  ALT=\"x=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > in any way).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4=x ALIGN=MIDDLE  ALT=\"x%5E4=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4-x=0 ALIGN=MIDDLE  ALT=\"x%5E4-x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3-1%29x=0 ALIGN=MIDDLE  ALT=\"%28x%5E3-1%29x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "whose solutions are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "corresponding to the origin and point (1,1). </SPAN>\n" );
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