document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1080216>Question 1080216</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given f(x) = x + 1 and g(x) = x – 1, find (fg)(x).\r<BR>\n" );
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document.write( "2x<BR>\n" );
document.write( "x^2 – 1<BR>\n" );
document.write( "x^2 + 2x – 1<BR>\n" );
document.write( "-2<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #694412 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=694412\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (fg)(x) is the same as (f*g)(x) or f(x)*g(x)\r<BR>\n" );
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document.write( "This means we are multiplying the functions.\r<BR>\n" );
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document.write( "(fg)(x) = (f*g)(x)\r<BR>\n" );
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document.write( "(fg)(x) = f(x)*g(x)\r<BR>\n" );
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document.write( "(fg)(x) = [ f(x) ] * [ g(x) ]\r<BR>\n" );
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document.write( "(fg)(x) = [ x+1 ] * [ x-1 ]\r<BR>\n" );
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document.write( "(fg)(x) = x(x-1) + 1(x-1)\r<BR>\n" );
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document.write( "(fg)(x) = x^2 - x + x - 1\r<BR>\n" );
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document.write( "(fg)(x) = <font color=red>x^2 - 1</font>\r<BR>\n" );
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document.write( "So the final answer is <font color=red>choice B) x^2 - 1</font>\r<BR>\n" );
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document.write( "Side note: You can use the difference of squares formula as a shortcut. </SPAN>\n" );
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