document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1084542>Question 1084542</A>: <I><SPAN STYLE=\"word-break: break-all;\"> for the function g(x)=-1+log2(x-5)<BR>\n" );
document.write( "(i) find g^-1(x)<BR>\n" );
document.write( "(ii) sketch the graph of g(x) and g^-1(x) on the same coordinate axes showing the asymptotes and intercepts </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #698663 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=698663\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> for the function g(x)=-1+log2(x-5)<BR>\n" );
document.write( "(i) find g^-1(x)<BR>\n" );
document.write( "1st:: Interchange x and y to get x = -1+log2(y-5)<BR>\n" );
document.write( "2nd:: Solve for \"y\"::<BR>\n" );
document.write( "log2(y-5) = x+1<BR>\n" );
document.write( "y-5 = 2^(x+1)<BR>\n" );
document.write( "Ans:: g^-1(x) = 2^(x+1)+5<BR>\n" );
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document.write( "(ii) sketch the graph of g(x) and g^-1(x) on the same coordinate axes showing the asymptotes and intercepts <BR>\n" );
document.write( "=====<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C-1%2Bln%28x-5%29%2Fln%282%29%2C2%5E%28x%2B1%29%2B5%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Asymptotes and intercepts::<BR>\n" );
document.write( "For g(x) = -1+log2(x-5)<BR>\n" );
document.write( "Asymptote:: x = 5<BR>\n" );
document.write( "x-intercept:: Solve log2(x-5) = 1 ; x-5 = 2 ; x = 7<BR>\n" );
document.write( "y-int:: none<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "For g^-1(x) = 2^(x+1)+5<BR>\n" );
document.write( "Asymptote:: y = 5<BR>\n" );
document.write( "x-intercept:: none<BR>\n" );
document.write( "y-intercept:: y = 7<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );