document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=618186>Question 618186</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, can someone please help me..I cannot wrap my head around this problem. <BR>\n" );
document.write( "if f(x)=ln x, g(x)=e^(7x), and h(x)=x^6   find the following<BR>\n" );
document.write( "1. (fog)(x) and domain of (fog)(x)<BR>\n" );
document.write( "2. (gof)(x) and domain of (gof)(x)<BR>\n" );
document.write( "3. (fog)(x) and domain of (foh)(x)\r<BR>\n" );
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document.write( "I tried to start them out but I am completely stumped!\r<BR>\n" );
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document.write( "1). (fog)(x)=f(g)x))= lnx(e^(7x))\r<BR>\n" );
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document.write( "2). (gof)(x)=g(f(x))=e^(7x)lnx))\r<BR>\n" );
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document.write( "3.) (foh)(x)=f(h)x))=lnx(x^6)\r<BR>\n" );
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document.write( "I can usually figure out the composite functions but the exponential and logarithm has me really confused.\r<BR>\n" );
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document.write( "Thanks a ton!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #388749 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=388749\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if f(x)=ln x, g(x)=e^(7x), and h(x)=x^6 find the following<BR>\n" );
document.write( "1. (fog)(x) and domain of (fog)(x)<BR>\n" );
document.write( "2. (gof)(x) and domain of (gof)(x)<BR>\n" );
document.write( "3. (fog)(x) and domain of (foh)(x) <BR>\n" );
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document.write( "Answers: <BR>\n" );
document.write( "1). (fog)(x)=f(g(x))= f(e^(7x)) = ln(e^(7x)) = 7x<BR>\n" );
document.write( "Domain: All Real Numbers<BR>\n" );
document.write( "-------------------------------------- <BR>\n" );
document.write( "2). (gof)(x)=g(f(x))= g(ln(x)) = e^(7ln(x)) = e^(ln(x^7)) = x^7<BR>\n" );
document.write( "Domain: All Real Numbers greater than zero.<BR>\n" );
document.write( "-------------------------------------- <BR>\n" );
document.write( "3.) (foh)(x)= f(h(x))=f(x^6) = ln(x^6) = 6ln(x)<BR>\n" );
document.write( "Domain: All Real Numbers greater than zero.<BR>\n" );
document.write( "====================================================== <BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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