document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=313545>Question 313545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Listed below are 5 functions, each denoted g(x) and each involving a real number constant<BR>\n" );
document.write( "c > 1. If f(x) = 2^x, which of these 5 functions yields the greatest value for f(g(x)), for all x > 1 ?<BR>\n" );
document.write( "A. g(x) = cx<BR>\n" );
document.write( "B. g(x) = c<BR>\n" );
document.write( "x<BR>\n" );
document.write( "C. g(x) = x<BR>\n" );
document.write( "c<BR>\n" );
document.write( "D. g(x) = x – c<BR>\n" );
document.write( "E. g(x) = logcx (the c is the base the x is not)\r<BR>\n" );
document.write( "\n" );
document.write( "I don't understand how to solve this problem. Can someone please explain it to me. Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #224196 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=224196\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Listed below are 5 functions, each denoted g(x) and each involving a real number constant c > 1. <BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "If f(x) = 2^x, which of these 5 functions yields the greatest value for <BR>\n" );
document.write( "f(g(x)), for all x > 1 ?<BR>\n" );
document.write( "A. g(x) = cx<BR>\n" );
document.write( "f(g(x)) = f(cx) = 2^(cx)<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "B. g(x) = c^x<BR>\n" );
document.write( "f(g(x)) = f(c^x) = 2^(c^x)<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "C. g(x) = x^c<BR>\n" );
document.write( "f(g(x)) = 2^(x^c)<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "D. g(x) = x – c<BR>\n" );
document.write( "f(g(x)) = 2^(x-c) = 2^x/2^c<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "E. g(x) = logcx (the c is the base the x is not)<BR>\n" );
document.write( "f(g(x)) = 2^(logc(x)) <BR>\n" );
document.write( "---------------------------------- <BR>\n" );
document.write( "I don't understand how to solve this problem. Can someone please explain it to me.<BR>\n" );
document.write( "Procedure: Let c = 3 ; then compare the graphs of f(g(x)) for each of<BR>\n" );
document.write( "a,b,c,d,e.<BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=======================  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );