document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74672>Question 74672</A>: <I><SPAN STYLE=\"word-break: break-all;\"> evaluate the following:and identify the domain\r<BR>\n" );
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document.write( "Functions for the problem: f(x)= 2x^2+5x+7   and g(x)=x^3+2\r<BR>\n" );
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document.write( "1. (f+g)(x)<BR>\n" );
document.write( "2. (f-g)(x)<BR>\n" );
document.write( "3. (g.f)(x)<BR>\n" );
document.write( "4. (f/g)(x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53647 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=53647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.<BR>\n" );
document.write( "You're simply going to add each like term from both equations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Bg%29%28x%29=f%28x%29%2Bg%28x%29=%282x%5E2%2B5x%2B7%29%2B%28x%5E3%2B2%29 ALIGN=MIDDLE  ALT=\"%28f%2Bg%29%28x%29=f%28x%29%2Bg%28x%29=%282x%5E2%2B5x%2B7%29%2B%28x%5E3%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Bg%29%28x%29=f%28x%29%2Bg%28x%29=x%5E3%2B2x%5E2%2B5x%2B9 ALIGN=MIDDLE  ALT=\"%28f%2Bg%29%28x%29=f%28x%29%2Bg%28x%29=x%5E3%2B2x%5E2%2B5x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Domain is all real numbers since the domain of the 2 equations is all real numbers. \r<BR>\n" );
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document.write( "2.<BR>\n" );
document.write( "Now you're going to subtract like terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f-g%29%28x%29=f%28x%29-g%28x%29=%282x%5E2%2B5x%2B7%29-%28x%5E3%2B2%29 ALIGN=MIDDLE  ALT=\"%28f-g%29%28x%29=f%28x%29-g%28x%29=%282x%5E2%2B5x%2B7%29-%28x%5E3%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f-g%29%28x%29=f%28x%29-g%28x%29=-x%5E3%2B2x%5E2%2B5x%2B5 ALIGN=MIDDLE  ALT=\"%28f-g%29%28x%29=f%28x%29-g%28x%29=-x%5E3%2B2x%5E2%2B5x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Domain is all real numbers since the domain of the 2 equations is all real numbers. \r<BR>\n" );
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document.write( "3. <BR>\n" );
document.write( "Now you're going to multiply each equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Ag%29%28x%29=f%28x%29%2Ag%28x%29=%282x%5E2%2B5x%2B7%29%28x%5E3%2B2%29 ALIGN=MIDDLE  ALT=\"%28f%2Ag%29%28x%29=f%28x%29%2Ag%28x%29=%282x%5E2%2B5x%2B7%29%28x%5E3%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Ag%29%28x%29=f%28x%29%2Ag%28x%29=2x%5E2%2Ax%5E3%2B2x%5E2%282%29%2B5x%28x%5E3%29%2B5x%282%29%2B7%28x%5E3%29%2B7%282%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Ag%29%28x%29=f%28x%29%2Ag%28x%29=2x%5E5%2B4x%5E2%2B5x%5E4%2B10x%2B7x%5E3%2B14 ALIGN=MIDDLE  ALT=\"%28f%2Ag%29%28x%29=f%28x%29%2Ag%28x%29=2x%5E5%2B4x%5E2%2B5x%5E4%2B10x%2B7x%5E3%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Ag%29%28x%29=f%28x%29%2Ag%28x%29=2x%5E5%2B5x%5E4%2B7x%5E3%2B4x%5E2%2B10x%2B14 ALIGN=MIDDLE  ALT=\"%28f%2Ag%29%28x%29=f%28x%29%2Ag%28x%29=2x%5E5%2B5x%5E4%2B7x%5E3%2B4x%5E2%2B10x%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" >Rewrite terms in descending degree. Domain is all real numbers since the domain of the 2 equations is all real numbers. \r<BR>\n" );
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document.write( "4.<BR>\n" );
document.write( "This time you're going to divide the 2 equations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Fg%29%28x%29=f%28x%29%2Fg%28x%29=%282x%5E2%2B5x%2B7%29%2F%28x%5E3%2B2%29 ALIGN=MIDDLE  ALT=\"%28f%2Fg%29%28x%29=f%28x%29%2Fg%28x%29=%282x%5E2%2B5x%2B7%29%2F%28x%5E3%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Fg%29%28x%29=f%28x%29%2Fg%28x%29=%282x%5E2%2B5x%2B7%29%2F%28x%5E3%2B2%29 ALIGN=MIDDLE  ALT=\"%28f%2Fg%29%28x%29=f%28x%29%2Fg%28x%29=%282x%5E2%2B5x%2B7%29%2F%28x%5E3%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > And this is the simplest form since it cannot be reduced further. The domain is all real numbers except x cannot equal <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-root%283%2C2%29 ALIGN=MIDDLE  ALT=\"-root%283%2C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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