document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=397870>Question 397870</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I did the following problem, but I am not certain I did it correctly. I am hoping a tutor can double check this for me, and put me on the right path if it is wrong. Any help would be greatly appreciated! Here is the problem:\r<BR>\n" );
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document.write( "Find f^-1(x) \r<BR>\n" );
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document.write( "f(x)= (2x-3)/(x+1)\r<BR>\n" );
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document.write( "Here's how I did it:\r<BR>\n" );
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document.write( "f(x)=2x-3/(x+1)\r<BR>\n" );
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document.write( "y=2x-3/(x+1)\r<BR>\n" );
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document.write( "x=(2y-3)/(y+1)\r<BR>\n" );
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document.write( "xy= (2y-3)/(y+1)*y\r<BR>\n" );
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document.write( "xy= 2y-3\r<BR>\n" );
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document.write( "xy-2y=-3\r<BR>\n" );
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document.write( "y(x-2)/(x-2)=-3/(x-2)\r<BR>\n" );
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document.write( "y=-3/(x-2)\r<BR>\n" );
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document.write( "so f^-1(x)= -3/(x-2)\r<BR>\n" );
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document.write( "Ok...Is this correct, or do I need to go back to the drawing board? Could someone please show me how to check these? Thank you!\r<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 #281928 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=281928\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I did the following problem, but I am not certain I did it correctly. I am hoping a tutor can double check this for me, and put me on the right path if it is wrong. Any help would be greatly appreciated! Here is the problem:\r<BR>\n" );
document.write( "\n" );
document.write( "Find f^-1(x) \r<BR>\n" );
document.write( "\n" );
document.write( "f(x)= (2x-3)/(x+1)\r<BR>\n" );
document.write( "\n" );
document.write( "Here's how I did it:\r<BR>\n" );
document.write( "\n" );
document.write( "f(x)=2x-3/(x+1)\r<BR>\n" );
document.write( "\n" );
document.write( "y=2x-3/(x+1)\r<BR>\n" );
document.write( "\n" );
document.write( "x=(2y-3)/(y+1)\r<BR>\n" );
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document.write( "xy= (2y-3)/(y+1)*y\r<BR>\n" );
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document.write( "xy= 2y-3 ******   That won't work.\r<BR>\n" );
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document.write( "xy-2y=-3\r<BR>\n" );
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document.write( "y(x-2)/(x-2)=-3/(x-2)\r<BR>\n" );
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document.write( "y=-3/(x-2)\r<BR>\n" );
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document.write( "so f^-1(x)= -3/(x-2)\r<BR>\n" );
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document.write( "Ok...Is this correct, or do I need to go back to the drawing board? Could someone please show me how to check these? Thank you!<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "x=(2y-3)/(y+1)<BR>\n" );
document.write( "x(y+1) = 2y-3<BR>\n" );
document.write( "xy+x = 2y-3<BR>\n" );
document.write( "xy - 2y = -x-3<BR>\n" );
document.write( "y(x-2) = -x-3<BR>\n" );
document.write( "y = (-x-3)/(x-2)<BR>\n" );
document.write( "y = -(x+3)/(x-2)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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