document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=34664>Question 34664</A>: <I><SPAN STYLE=\"word-break: break-all;\">  the function f(x)= x/3-x find an expression for (f to the negative 1 power) f-1 (x) in addition state the domain of both f and f (-1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #20978 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=20978\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29=+x%2F%283-x%29+ ALIGN=MIDDLE  ALT=\"+f%28x%29=+x%2F%283-x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> its domain is any real value of x but not x=3. This is because when x=3, the denominator is then zero and any fraction having a zero denominator gives \"ERROR\" on your calculator, so HAS TO BE avoided.\r<BR>\n" );
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document.write( "Inverse:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+x%2F%283-x%29+ ALIGN=MIDDLE  ALT=\"+y+=+x%2F%283-x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%283-x%29+=+x+ ALIGN=MIDDLE  ALT=\"+y%283-x%29+=+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3y-xy+=+x+ ALIGN=MIDDLE  ALT=\"+3y-xy+=+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3y-xy-x+=+0+ ALIGN=MIDDLE  ALT=\"+3y-xy-x+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-xy-x+=+-3y+ ALIGN=MIDDLE  ALT=\"+-xy-x+=+-3y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-x%28y%2B1%29+=+-3y+ ALIGN=MIDDLE  ALT=\"+-x%28y%2B1%29+=+-3y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%28y%2B1%29+=+3y+ ALIGN=MIDDLE  ALT=\"+x%28y%2B1%29+=+3y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%283y%29%2F%28y%2B1%29+ ALIGN=MIDDLE  ALT=\"+x+=+%283y%29%2F%28y%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, here we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28y%29+=+%283y%29%2F%28y%2B1%29+ ALIGN=MIDDLE  ALT=\"+f%28y%29+=+%283y%29%2F%28y%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or seeing as how we usually quote equations in terms of x: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+%283x%29%2F%28x%2B1%29+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+%283x%29%2F%28x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. And as this is the inverse function of the original, then we can say: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%5E%28-1%29%28x%29+=+%283x%29%2F%28x%2B1%29+ ALIGN=MIDDLE  ALT=\"+f%5E%28-1%29%28x%29+=+%283x%29%2F%28x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Its domain is: any real value of x but not x=-1 for exactly the same reason as before.\r<BR>\n" );
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document.write( "jon<BR>\n" );
document.write( " </SPAN>\n" );
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