document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=653229>Question 653229</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if f(x)=2x and g(x)=x-4 what is the value of f[g(3)] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #408307 by </B><A HREF=/tutors/aboutme.mpl?userid=Shana-D77><B>Shana-D77(132)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Shana-D77><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/cgi-bin/show-face.mpl?user=Shana-D77><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=408307\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if f(x)=2x and g(x)=x-4 what is the value of f[g(3)]?\r<BR>\n" );
document.write( "\n" );
document.write( "f[g(3)] says \"f at g at 3\".  More specifically, it reads, \"evaluate g if x is 3, then stick whatever number you get into the x in the f function\".  Always work inside to outside in these functions within functions.\r<BR>\n" );
document.write( "\n" );
document.write( "So:\r<BR>\n" );
document.write( "\n" );
document.write( "g(x) = x - 4<BR>\n" );
document.write( "g(3) = 3 - 4<BR>\n" );
document.write( "g(3) = -1\r<BR>\n" );
document.write( "\n" );
document.write( "Now put -1 into f.\r<BR>\n" );
document.write( "\n" );
document.write( "f(x) = 2x<BR>\n" );
document.write( "f(-1) = 2(-1)<BR>\n" );
document.write( "f(-1) = -2\r<BR>\n" );
document.write( "\n" );
document.write( "So f[g(3)] = -2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );