document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=256093>Question 256093</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this.<BR>\n" );
document.write( "Listed below are 5 functions, each denoted g(x) and each involving a real number constant c>1. If f(x)=2x ( 2 exponent x), which of these 5 functions yields the greatest value for f(g(x)), for all x>1?<BR>\n" );
document.write( "g(x)=cx<BR>\n" );
document.write( "g(x)=c/x<BR>\n" );
document.write( "g(x)=x/c<BR>\n" );
document.write( "g(x)=x-c<BR>\n" );
document.write( "g(x)=logcx </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188254 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=188254\">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. If f(x)=2^x ( 2 exponent x), which of these 5 functions yields the greatest value for f(g(x)), for all x>1?<BR>\n" );
document.write( "g(x)=cx<BR>\n" );
document.write( "f[g(x)] = f[cx] = 2^(cx)<BR>\n" );
document.write( "goes to infinity as x gets larger<BR>\n" );
document.write( "------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "g(x)=c/x<BR>\n" );
document.write( "f[g(x)] = f[c/x] = 2^(c/x)<BR>\n" );
document.write( "goes to 1 as x gets larger<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "g(x)=x/c<BR>\n" );
document.write( "f[g(x)} = 2^(x/c)<BR>\n" );
document.write( "goes to infinity as x gets larger<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "g(x)=x-c<BR>\n" );
document.write( "f[g(x)] = 2^(x-c)<BR>\n" );
document.write( "Goes to infinity as x gets larger<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "g(x)=logcx<BR>\n" );
document.write( "f[g(x)] = 2^(log(cx)]<BR>\n" );
document.write( "goes to infinity as x gets larger<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" );