document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=996942>Question 996942</A>: <I><SPAN STYLE=\"word-break: break-all;\"> g(x)= (4/x-1)+1<BR>\n" );
document.write( "f(x)=(3/x+2)-1<BR>\n" );
document.write( "Are these functions inverses of each other? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #615207 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=615207\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify each of the functions, and then find inverse of either; or once simplified, compose one with the other and solve for the result of that simplified.  Is it x?  Just do it!\r<BR>\n" );
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document.write( "Your functions as you listed:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=+%284%2Fx-1%29%2B1 ALIGN=MIDDLE  ALT=\"g%28x%29=+%284%2Fx-1%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fx-1%2B1 ALIGN=MIDDLE  ALT=\"4%2Fx-1%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%284%2Fx%29 ALIGN=MIDDLE  ALT=\"highlight_green%284%2Fx%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=f%28x%29=%283%2Fx%2B2%29-1 ALIGN=MIDDLE  ALT=\"f%28x%29=%283%2Fx%2B2%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Fx%2B2-1 ALIGN=MIDDLE  ALT=\"3%2Fx%2B2-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%283%2Fx%2B1%29 ALIGN=MIDDLE  ALT=\"highlight_green%283%2Fx%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "One can judge this far that g and f are NOT inverses of each other.\r<BR>\n" );
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document.write( "Try either composition.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28x%29%29=4%2F%283%2Fx%2B1%29 ALIGN=MIDDLE  ALT=\"g%28f%28x%29%29=4%2F%283%2Fx%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%283%2Fx%2Bx%2Fx%29 ALIGN=MIDDLE  ALT=\"4%2F%283%2Fx%2Bx%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28%283%2Bx%29%2Fx%29 ALIGN=MIDDLE  ALT=\"4%2F%28%283%2Bx%29%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%284x%29%2F%283%2Bx%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%284x%29%2F%283%2Bx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >------as simple as can be made.  This did not produce the required<BR>\n" );
document.write( "result of x.\r<BR>\n" );
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document.write( "g and f are not inverses.<BR>\n" );
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