document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=103077>Question 103077</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the given functions f and g, find the requested function and state its domain.\r<BR>\n" );
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document.write( "f(x) = 16 - x2; g(x) = 4 - x<BR>\n" );
document.write( "Find f + g.\r<BR>\n" );
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document.write( "Thank you for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74955 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=74955\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = 16 - x2; g(x) = 4 - x<BR>\n" );
document.write( "Find f + g. <BR>\n" );
document.write( "f+g = 16-x^2+4-x<BR>\n" );
document.write( "= -x^2-x+20<BR>\n" );
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document.write( "The graph would be a parabola opening downward with<BR>\n" );
document.write( "vertex at x = -b/2a = -(-1/-2)= -1/2\r<BR>\n" );
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document.write( "Then f(-1/2) = -(-1/2)^2-(-1/2)+ 20 = -1/4+1/2+20 = 20 1/4<BR>\n" );
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document.write( "Domain is All Real Numbers<BR>\n" );
document.write( "Range is All Real Numbers <= 20 1/4<BR>\n" );
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document.write( "Graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C30%2C-x%5E2-x%2B20%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C30%2C-x%5E2-x%2B20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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