document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35505>Question 35505</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534432956/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Let f(x) = 2x + 1 and g(x) = x^2 - 4 and find the following:\r<BR>\n" );
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document.write( "(fg)(x)\r<BR>\n" );
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document.write( "(g of f)(x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21653 by </B><A HREF=/tutors/aboutme.mpl?userid=narayaba><B>narayaba(40)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=narayaba><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=21653\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let f(x) = 2x + 1 and g(x) = x^2 - 4 \r<BR>\n" );
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document.write( "(fg)(x) has two meanings whether it is component wise multiplication or composition<BR>\n" );
document.write( "if it is multiplication then (fg)(x) = f(x)*g(x) and if it is composition then (fg)(x) = f(g(x)). There are condition underwhich each of the above is valid\r<BR>\n" );
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document.write( "I am assuming it is multiplication here<BR>\n" );
document.write( "(fg)(x) = f(x)*g(x) = (2x + 1)*(x^2 - 4) = 2x^3 + x^2 -8x -4\r<BR>\n" );
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document.write( "(f-g)(x) = f(x) - g(x) = 2x + 1 - (x^2 - 4) =  2x + 1 - x^2 + 4= -x^2 + 2x + 5<BR>\n" );
document.write( " </SPAN>\n" );
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