document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30449>Question 30449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm not sure if I am posting this in the right area.  But I need to:<BR>\n" );
document.write( "For the indicated functions f and g, find the functions f+g,f-g,fg, and f/g and find their domains.<BR>\n" );
document.write( "f(x)=3x    g(x)=x^2+4<BR>\n" );
document.write( "Could you show me how this is done.  I did it using word and cannot paste the answer in here and need something to check my work by.<BR>\n" );
document.write( "Thank you so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17085 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17085\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> As to the domains, you need to know the domains of the originals to base them upon. You haven't supplied this info, so i assume both f(x) and g(x) have domains of \"any real value\".\r<BR>\n" );
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document.write( "f+g --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+%2B+x%5E2+%2B+4+ ALIGN=MIDDLE  ALT=\"+3x+%2B+x%5E2+%2B+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f+g --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+3x+%2B+4+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+3x+%2B+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and its domain is also \"any real value of x\" since we CAN put in any value we like and get a valid y-value out.\r<BR>\n" );
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document.write( "f-g --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+-+%28x%5E2+%2B+4%29+ ALIGN=MIDDLE  ALT=\"+3x+-+%28x%5E2+%2B+4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f-g --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+-+x%5E2+-+4%29+ ALIGN=MIDDLE  ALT=\"+3x+-+x%5E2+-+4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f-g --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-x%5E2+%2B+3x+-+4%29+ ALIGN=MIDDLE  ALT=\"+-x%5E2+%2B+3x+-+4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and its domain is also \"any real value of x\" since we CAN put in any value we like and get a valid y-value out.\r<BR>\n" );
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document.write( "fg --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%5E2+%2B+4%29+ ALIGN=MIDDLE  ALT=\"+f%28x%5E2+%2B+4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "fg --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x%29%5E2+%2B+4+ ALIGN=MIDDLE  ALT=\"+%283x%29%5E2+%2B+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "fg --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x%5E2+%2B+4+ ALIGN=MIDDLE  ALT=\"+9x%5E2+%2B+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and its domain is also \"any real value of x\" since we CAN put in any value we like and get a valid y-value out.\r<BR>\n" );
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document.write( "By f/g, i assume you mean...<BR>\n" );
document.write( "f/g --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x%29%2F%28x%5E2%2B4%29+ ALIGN=MIDDLE  ALT=\"+%283x%29%2F%28x%5E2%2B4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in which case the domain is again \"any real value of x\". If you have done Complex Numbers, there are 2 complex numbers that are NOT allowed, since we are trying to avoid the denominator being zero, because when that happens, the fraction zooms off to infinity, which is a bad thing mathematically.\r<BR>\n" );
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document.write( "jon.\r<BR>\n" );
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