document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=211234>Question 211234</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please answer this question : (f+g)x<BR>\n" );
document.write( " given that f(x)=2/x  and g(x)=X2+3x+2\r<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 #159601 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=159601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> about the most straight forward tutorial i have found on this subject is at this web address:<BR>\n" );
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document.write( "http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut30b_operations.htm<BR>\n" );
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document.write( "(f+g)(x) is equal to f(x) + g(x)<BR>\n" );
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document.write( "your problem is:<BR>\n" );
document.write( "find (f+g)(x) given that f(x)=2/x  and g(x)=X2+3x+2<BR>\n" );
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document.write( "you have f(x) = 2/x<BR>\n" );
document.write( "you have g(x) = x^2 + 3x + 2<BR>\n" );
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document.write( "(f+g)(x) = f(x) + g(x) = 2/x + x^2 + 3x + 2<BR>\n" );
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document.write( "this becomes:<BR>\n" );
document.write( "x^2 + 3x + 2 + 2/x<BR>\n" );
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document.write( "I'm not exactly sure how or whether this can be reduced further.<BR>\n" );
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document.write( "you're supposed to add these functions together and combine like terms.<BR>\n" );
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document.write( "multiplying each of the components by x/x except for the term 2/x would make all components /x which allows them to be combined in the numerator of the function.<BR>\n" );
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document.write( "you would get:<BR>\n" );
document.write( "x^3/x + 3x^2/x + 2x/x + 2/x which would become:<BR>\n" );
document.write( "(x^3 + 3x^2 + 2x + 2)/x<BR>\n" );
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document.write( "the two forms of the equation are equivalent, i.e.<BR>\n" );
document.write( "x^2 + 3x + 2 + 2/x is equivalent to (x^3 + 3x^2 + 2x + 2)/x<BR>\n" );
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document.write( "since neither form allowed any combining of like terms more then the other, I would think that either form would be acceptable.<BR>\n" );
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document.write( "if they were just trying to teach you that (f+g)(x) equals f(x) + g(x), then either form should give you a proper answer.<BR>\n" );
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