document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=103358>Question 103358</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is coming from the University of Houston online textbook, section 3.6 #39, if that helps anyone else. I'm not sure how to get \"fog\" when there is a number to multiply by.<BR>\n" );
document.write( "Given the functions f (x) = x2 + 2 and<BR>\n" );
document.write( "g(x) = 5x &#8722; 8 , find:<BR>\n" );
document.write( "(a) f (g(1)) (b) g(f (1))<BR>\n" );
document.write( "(c) f (g(x)) (d) g(f (x))<BR>\n" );
document.write( "(e) f ( f (1)) (f) g(g(1))<BR>\n" );
document.write( "(g) f ( f (x)) (h) g(g(x))\r<BR>\n" );
document.write( "\n" );
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 #75177 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=75177\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Given the functions f (x) = x2 + 2 and<BR>\n" );
document.write( "g(x) = 5x &#8722; 8 , find:<BR>\n" );
document.write( "(a) f (g(1)) = f[5*1-8] = f[-3] = (-3)^2+2 = 11<BR>\n" );
document.write( "(b) g(f (1)) = g[1+2] = g[3] = 5*3-8 = 7<BR>\n" );
document.write( "(c) f (g(x)) = f[5x-8]= (5x-8)^2+2 = 25x^2-80x+66<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "I'll leave the rest for you.<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( "(d) g(f (x)) <BR>\n" );
document.write( "(e) f ( f (1)) <BR>\n" );
document.write( "(f) g(g(1))<BR>\n" );
document.write( "(g) f ( f (x)) <BR>\n" );
document.write( "(h) g(g(x)) \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );