document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=838748>Question 838748</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The function f(x)=2x/3x-5 is one-to-one. find its inverse and check your answer\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 #569028 by </B><A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><B>tommyt3rd(5050)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><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=tommyt3rd><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=569028\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find the inverse we can solve for x to convert it to the dependent variable:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28+2x+%29%2F%283x-5%29 ALIGN=MIDDLE  ALT=\"y=%28+2x+%29%2F%283x-5%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=%283x-5%29y=+2x+ ALIGN=MIDDLE  ALT=\"%283x-5%29y=+2x+\"   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=3xy-5y=+2x+ ALIGN=MIDDLE  ALT=\"3xy-5y=+2x+\"   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=3xy-2x=++5y ALIGN=MIDDLE  ALT=\"3xy-2x=++5y\"   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%283y-2%29=++5y ALIGN=MIDDLE  ALT=\"x%283y-2%29=++5y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Once their roles have reversed, the resulting expression is the inverse:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=%285x%29%2F%283x-2%29 ALIGN=MIDDLE  ALT=\"g%28x%29=%285x%29%2F%283x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To check we take the two appropriate inverses to see if they each recover the input (i.e. x).\r<BR>\n" );
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document.write( "Checking...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=%282%28%285x%29%2F%283x-2%29%29%29%2F%283%28%285x%29%2F%283x-2%29%29-5%29 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=%282%28%285x%29%2F%283x-2%29%29%29%2F%283%28%285x%29%2F%283x-2%29%29-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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