document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=197209>Question 197209</A>: <I><SPAN STYLE=\"word-break: break-all;\">     If f(x)= log(2,x) and g(x)= 2x^2 + 14, determine the value of (f o g) (5)?\r<BR>\n" );
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document.write( "    The \"o\" in the (f o g) is a symbol that I was not able to do, and I don't think it represents multiplication...or does it? Here is how I thought it would be done:<BR>\n" );
document.write( "                  f(g(5)) = log (base 2)(2(5^2) + 14)<BR>\n" );
document.write( "              <BR>\n" );
document.write( "                  = log (2, 64)<BR>\n" );
document.write( "               <BR>\n" );
document.write( "                   = 2^x =64\r<BR>\n" );
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document.write( "                    x = 6<BR>\n" );
document.write( "         Is this right? \r<BR>\n" );
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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 #147831 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=147831\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If f(x)= log(2,x) and g(x)= 2x^2 + 14, determine the value of (f o g) (5)? <BR>\n" );
document.write( "The \"o\" in the (f o g) is a symbol that I was not able to do, and I don't think it represents multiplication...or does it? Here is how I thought it would be done:<BR>\n" );
document.write( "f(g(5)) = log (base 2)(2(5^2) + 14)\r<BR>\n" );
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document.write( "= log (2, 64)\r<BR>\n" );
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document.write( "= 2^x =64 <BR>\n" );
document.write( "x = 6<BR>\n" );
document.write( "Is this right? \r<BR>\n" );
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document.write( "----------------------------------<BR>\n" );
document.write( "fog(x) means f[g(x)]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Think of f being a fish and g being a guppy(minnow).<BR>\n" );
document.write( "You feed the guppy a grain of food (x)<BR>\n" );
document.write( "Then the fish eats the guppy.<BR>\n" );
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document.write( "f(x)= log(2,x) and g(x)= 2x^2 + 14, determine the value of (f o g) (5)<BR>\n" );
document.write( "fog(5) = f[g(5)] = f[2*5^2+14] = f[64] = log(base2)64 = 6<BR>\n" );
document.write( "================================================================<BR>\n" );
document.write( "You are correct.<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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