document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=712297>Question 712297</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the inverse of the following function. find the domain, range and asymptotes of each function. graph both functions on the same coordinate plane.\r<BR>\n" );
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document.write( "f(x)=ln(8-x)\r<BR>\n" );
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document.write( "thanks :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437886 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=437886\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We look for another function g(x) so that g(f(x))=f(g(x))=x.\r<BR>\n" );
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document.write( "Considering the given function f(x)=ln(8-x), use g(x) as input:<BR>\n" );
document.write( "f(g(x))=ln(8-g(x))=x, because we want f and g to be inverses.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%288-g%28x%29%29=x ALIGN=MIDDLE  ALT=\"ln%288-g%28x%29%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=e%5Ex=8-g%28x%29 ALIGN=MIDDLE  ALT=\"e%5Ex=8-g%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=e%5Ex-8=-g%28x%29 ALIGN=MIDDLE  ALT=\"e%5Ex-8=-g%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=8-e%5Ex=g%28x%29 ALIGN=MIDDLE  ALT=\"8-e%5Ex=g%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=8-e%5Ex ALIGN=MIDDLE  ALT=\"g%28x%29=8-e%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  the inverse of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=ln%288-x%29 ALIGN=MIDDLE  ALT=\"f%28x%29=ln%288-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "g(x)=8-e^x,  graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28550%2C550%2C-20%2C20%2C-20%2C20%2C8-e%5Ex%29 ALIGN=MIDDLE  ALT=\"graph%28550%2C550%2C-20%2C20%2C-20%2C20%2C8-e%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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