document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037161>Question 1037161</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi there, I'm having trouble with this problem:\r<BR>\n" );
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document.write( "Let  f(x) = 3x^2 + 7x – 5 and  g(x) = 2 – x. \r<BR>\n" );
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document.write( "(a) Evaluate the function g  – f  for x = –1. That is, find (g  – f)(–1). <BR>\n" );
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document.write( "                  (2 - x) - (3x^2 + 7x -5)\r<BR>\n" );
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document.write( "                   answer: -3 + 3x^2 + 6x\r<BR>\n" );
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document.write( "(b) Evaluate the function fg for x = –1. That is, find (f g)( –1). \r<BR>\n" );
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document.write( "          <BR>\n" );
document.write( "                    (2 - x)(3x^2 + 7x -5)             <BR>\n" );
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document.write( "                   answer: 2x^2 + 9x - 10\r<BR>\n" );
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document.write( "(c) Find the difference function (f  – g)(x) and simplify the results. \r<BR>\n" );
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document.write( "	          answer: 3x^2 + 8x - 7\r<BR>\n" );
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document.write( "am I doing this correctly? I really appreciate any help!<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 #651891 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=651891\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "I think that you are forgetting<BR>\n" );
document.write( "to watch your signs.<BR>\n" );
document.write( "a)(g-f)(-1)<BR>\n" );
document.write( "(2 - x) - (3x^2 + 7x -5)<BR>\n" );
document.write( "2 - x - 3x^2 - 7x + 5<BR>\n" );
document.write( "Collect like terms:<BR>\n" );
document.write( "7 - 8x - 3x^2<BR>\n" );
document.write( "Now where you see an x<BR>\n" );
document.write( "replace it with -1<BR>\n" );
document.write( "7 - 8x - 3x^2<BR>\n" );
document.write( "7 - 8(-1) - 3(-1)^2<BR>\n" );
document.write( "7 + 8 -3(1)<BR>\n" );
document.write( "7 + 8 - 3<BR>\n" );
document.write( "= 12<BR>\n" );
document.write( "..........<BR>\n" );
document.write( "(fg)(-1)<BR>\n" );
document.write( "(2 - x)(3x^2 + 7x -5)<BR>\n" );
document.write( "6x^2 + 14x - 10 - 3x^3 - 7x^2 + 5x<BR>\n" );
document.write( "Collect like terms:<BR>\n" );
document.write( "-10 + 19x - x^2 - 3x^3<BR>\n" );
document.write( "Now where you see an x<BR>\n" );
document.write( "replace it with -1<BR>\n" );
document.write( "-10 +19(-1) -(-1)^2 - 3(-1)^3<BR>\n" );
document.write( "-10 -19 -1(1) - 3(-1)<BR>\n" );
document.write( "-10 - 19 -1 + 3<BR>\n" );
document.write( "= -27<BR>\n" );
document.write( "..............<BR>\n" );
document.write( "(f - g)(x)<BR>\n" );
document.write( "(3x^2 + 7x - 5) -(2 - x)<BR>\n" );
document.write( "Your answer was right.<BR>\n" );
document.write( "3x^2 + 8x - 7<BR>\n" );
document.write( ".............<BR>\n" );
document.write( "Hope this helps.<BR>\n" );
document.write( "Remember +x+ and -x- = +<BR>\n" );
document.write( "+x- and -x+ = -<BR>\n" );
document.write( "All the best :-)<BR>\n" );
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