document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67386>Question 67386</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1565770390/algebrahomeworkh>Advanced mathematics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Let f(x) = 3x^2 and g(x) = x - (2/x) Evaluate:<BR>\n" );
document.write( "A.)(f-g)(3)\r<BR>\n" );
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document.write( "B.)(f/g)(3)\r<BR>\n" );
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document.write( "C.)(g of f)(3) </SPAN>\n" );
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document.write( "A.)(f-g)(3)<BR>\n" );
document.write( "(f-g) <BR>\n" );
document.write( "= 3x^2-(x-2/x)<BR>\n" );
document.write( "=3x^2-x+2/x<BR>\n" );
document.write( "=x(3x^2-x+2/x)<BR>\n" );
document.write( "=3x^3-x^2+2<br>\r<BR>\n" );
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document.write( "(f-g)(3)<BR>\n" );
document.write( "=3(3x^3-x^2+2)<BR>\n" );
document.write( "<font color = red>=9x^3-3x^2+6</font><br>\r<BR>\n" );
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document.write( "B.)(f/g)(3)<BR>\n" );
document.write( "(f/g)<BR>\n" );
document.write( "=3x^2/(x-2/x)<BR>\n" );
document.write( "=3x^2/(x(x-2/x))<BR>\n" );
document.write( "=3x^2/(x^2-2)<br>\r<BR>\n" );
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document.write( "(f/g)(3)<BR>\n" );
document.write( "=3(3x^2/(x^2-2))<BR>\n" );
document.write( "<font color = red>=9x^2/(x^2-2)</font><br>\r<BR>\n" );
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document.write( "C.)(g of f)(3)<BR>\n" );
document.write( "g(f(x))<BR>\n" );
document.write( "=3x^2-2/3x^2<BR>\n" );
document.write( "=3x^2(3x^2-2/3x^2)<BR>\n" );
document.write( "9x^4-2<br>\r<BR>\n" );
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document.write( "(g of f)(3)<BR>\n" );
document.write( "=3(9x^4-2)<BR>\n" );
document.write( "<font color = red>27x^3-6</font> </SPAN>\n" );
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