document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=276582>Question 276582</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that f(x)=log3(x-1).<BR>\n" );
document.write( "a) State the domain and range of f.<BR>\n" );
document.write( "b) Find a formula for f^-1.<BR>\n" );
document.write( "c) Sketch the graph of f and f^-1. Label all important points and asymptotes.<BR>\n" );
document.write( "I got...<BR>\n" );
document.write( "a) domain is x must be greater than or equal to 1 because you can't have negative numbers when it comes to log. DON'T KNOW WHAT THE RANGE IS..?<BR>\n" );
document.write( "b) log3(x-1)=y<BR>\n" );
document.write( " 3^y=x-1<BR>\n" );
document.write( "3^y+1=x<BR>\n" );
document.write( "3^x+1=y<BR>\n" );
document.write( "c) NOT SURE HOW TO SKETCH THE GRAPH. <BR>\n" );
document.write( "PLEASE HELP ME FIND THE RANGE AND SKETCH THE GRAPH, I NEED HELP ASAP PLEASE!!<BR>\n" );
document.write( "MUCH APPRECIATED!!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #201540 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=201540\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Part a.  The range is all real numbers.\r<BR>\n" );
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document.write( "Part b.  100% correct\r<BR>\n" );
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document.write( "Part c.\r<BR>\n" );
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document.write( "Red graph is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large f(x)\ =\ \log_3\left(x\,-\,1\right)\">\r<BR>\n" );
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document.write( "Green graph is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large f^{-1}(x)\ =\ 3^x\,+\,1\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28%0D%0A500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0Agrid%281%29%2C%0D%0Agraph%28%0D%0A500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0Alog%283%2Cx-1%29%2C%0D%0A3%5Ex%2B1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Despite what it looks like, the curve for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large f(x)\"> does not stop abruptly at -3.  The value of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large f(x)\"> decreases without bound as <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> approaches 1 from the right.  The picture you see is just a limitation of the graphing function on this website.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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