document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=22121>Question 22121</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given f(x)=3x^2+2x and g(x)=x-5  find (f*g)(3), (f-g)(5) and (f o g)(x). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #11546 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=11546\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(3) = 3*3^2+2*3= 27+6 =33<BR>\n" );
document.write( "g(3) = 3-5 = -2\r<BR>\n" );
document.write( "\n" );
document.write( "(f*g)(3) = f(3)*g(3) = 33*(-2) = -66\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "f(5) = 3*5^2 + 2*5 =75+10=85<BR>\n" );
document.write( "g(5) = 5-5 =0<BR>\n" );
document.write( "(f-g)(5) = f(5) - g(5) = 85-0=85\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(f o g)(x)  <BR>\n" );
document.write( "= f[g(x)] <BR>\n" );
document.write( "= 3(x-5)^2 +2(x-5)<BR>\n" );
document.write( "= 3(x^2 -10x+25) + 2x -10<BR>\n" );
document.write( "= 3x^2 -30x + 75 + 2x - 10<BR>\n" );
document.write( "= 3x^2 -28x + 65\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "R^2 at SCC </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );