document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=571838>Question 571838</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the given functions f, g , and h , find f o g and state the exact domain of f o g o h . \r<BR>\n" );
document.write( "\n" );
document.write( "f(x) = e^x<BR>\n" );
document.write( "g(x) = logx<BR>\n" );
document.write( "h(x) = x/x + 8<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #368484 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=368484\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the given functions f, g , and h , find f o g and state the exact domain of f o g o h .<BR>\n" );
document.write( "f(x) = e^x<BR>\n" );
document.write( "g(x) = logx<BR>\n" );
document.write( "h(x) = x/x + 8<BR>\n" );
document.write( "**<BR>\n" );
document.write( "g o h=log[x/(x+8)]<BR>\n" );
document.write( "f o g o h=e^log[x/(x+8)]<BR>\n" );
document.write( "Domain of exponential functions=all real numbers<BR>\n" );
document.write( "However,log[x/(x+8)]>0, or x>0<BR>\n" );
document.write( "Denominator &#8800; 0, so x &#8800; -8 \r<BR>\n" );
document.write( "\n" );
document.write( "Domain of f o g o h: (0,-8) U (-8,&#8734;) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );