document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=693748>Question 693748</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given f(x) = x-3 and g(x) = x^2 +2 \r<BR>\n" );
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document.write( "a)find(f+g)(x) whats the domain and range <BR>\n" );
document.write( "b) find f/g (x) whats the domain and range<BR>\n" );
document.write( "find g/f (x) whats the domain and range \r<BR>\n" );
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document.write( "thanks for ur help, i am really confused rite now lol </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #427521 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=427521\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given f(x) = x-3 and g(x) = x^2 +2 <BR>\n" );
document.write( "a)find(f+g)(x) whats the domain and range<BR>\n" );
document.write( "(f+g)(x) = f(x)+g(x) = x^2+x-1<BR>\n" );
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document.write( "Domain:: All Real Numbers<BR>\n" );
document.write( "Range::: <BR>\n" );
document.write( "Find the vertex:<BR>\n" );
document.write( "x = -b/(2a) = -1/2<BR>\n" );
document.write( "f(-1/2) = (1/4)-(1/2)-1 = -5/4<BR>\n" );
document.write( "Range is \"All Real Numbers >= -5/4\"<BR>\n" );
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document.write( "b) find f/g (x) whats the domain and range<BR>\n" );
document.write( "f/g = f(x)/g(x) = (x-3)/(x^2+2) <BR>\n" );
document.write( "Domain: All Real Numbers as there are no vertical asymptotes.<BR>\n" );
document.write( "Range: All Real numbers except y = 0 because that is a horizontal asymptote.<BR>\n" );
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document.write( "find g/f (x) whats the domain and range<BR>\n" );
document.write( "g/f = g(x)/f(x) = (x^2+2)/(x-3)<BR>\n" );
document.write( "Domain: All Real Numbers except x = 3, which is a vertical asymptote.<BR>\n" );
document.write( "Range: All Real Numbers because there is no horizontal asymptote.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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