document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=892069>Question 892069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The one to one function g is defined by g(x)= 5x/x-9<BR>\n" );
document.write( "Find g-1 x and domain and range of g inverse x, using interval notation.<BR>\n" );
document.write( "I think inverse is 9x/x-5  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #540254 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=540254\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here is some help with the inverse part.\r<BR>\n" );
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document.write( "You likely are starting with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=5x%2F%28x-9%29 ALIGN=MIDDLE  ALT=\"g%28x%29=5x%2F%28x-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You want to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5E%28-1%29%28x%29 ALIGN=MIDDLE  ALT=\"g%5E%28-1%29%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5g%5E%28-1%29%28x%29%2F%28g%5E%28-1%29%28x%29-9%29=x ALIGN=MIDDLE  ALT=\"5g%5E%28-1%29%28x%29%2F%28g%5E%28-1%29%28x%29-9%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "SOLVE THAT FOR <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5E%28-1%29%28x%29 ALIGN=MIDDLE  ALT=\"g%5E%28-1%29%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Let me use y instead of all that text...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%2F%28y-9%29=x ALIGN=MIDDLE  ALT=\"5y%2F%28y-9%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=5y=x%28y-9%29 ALIGN=MIDDLE  ALT=\"5y=x%28y-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y=xy-9x ALIGN=MIDDLE  ALT=\"5y=xy-9x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y-xy=-9x ALIGN=MIDDLE  ALT=\"5y-xy=-9x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%285-x%29=-9x ALIGN=MIDDLE  ALT=\"y%285-x%29=-9x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-9x%2F%285-x%29 ALIGN=MIDDLE  ALT=\"y=-9x%2F%285-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%2F%28-1%29 ALIGN=MIDDLE  ALT=\"%28-1%29%2F%28-1%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%28y=9x%2F%28x-5%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y=9x%2F%28x-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----the inverse\r<BR>\n" );
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document.write( "DOMAIN:<BR>\n" );
document.write( "All real numbers except that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E5 ALIGN=MIDDLE  ALT=\"x%3C%3E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "(-infinity,5) U (5,infinity)\r<BR>\n" );
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document.write( "RANGE:<BR>\n" );
document.write( "You figure this!  What happens as x tends toward -infinity or toward infinity?<BR>\n" );
document.write( "What happens to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5E%28-1%29 ALIGN=MIDDLE  ALT=\"g%5E%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > near x=5, on either sides? </SPAN>\n" );
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