document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=895198>Question 895198</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the domain of f(x)= ln (e^x - 3). Find f-1 and its doman </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #543558 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=543558\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the domain of f(x)= ln (e^x - 3). Find f-1 and its doman<BR>\n" );
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document.write( "Domain::<BR>\n" );
document.write( "y = ln(e^x-3)<BR>\n" );
document.write( "1st::  e^x-3 must be > 0<BR>\n" );
document.write( "2nd: Solve for \"x\"::<BR>\n" );
document.write( "e^x - 3 > 0<BR>\n" );
document.write( "e^x > 3<BR>\n" );
document.write( "x > ln(3)<BR>\n" );
document.write( "That is the domain for f(x)<BR>\n" );
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document.write( "Find f^-1(x)<BR>\n" );
document.write( "y = ln(e^x-3)<BR>\n" );
document.write( "1st:: Interchane x and y to get:<BR>\n" );
document.write( "x = ln(e^y-3)<BR>\n" );
document.write( "2nd: Solve for \"y\"::<BR>\n" );
document.write( "e^y - 3 = e^x<BR>\n" );
document.write( "----<BR>\n" );
document.write( "e^y = e^x+3<BR>\n" );
document.write( "y = ln(e^x+3)<BR>\n" );
document.write( "That is f^-1(x)<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------------- </SPAN>\n" );
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