document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79>Question 79</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the domain and range, (4x+5)^3<BR>\n" );
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document.write( "                            3x+1<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #35 by </B><A HREF=/tutors/aboutme.mpl?userid=ichudov><B>ichudov(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ichudov><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=ichudov><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=35\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am assuming that you are asking about function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%2B5%29%5E3%2F%283x%2B1%29 ALIGN=MIDDLE  ALT=\"%284x%2B5%29%5E3%2F%283x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The domain is all points where the function is defined. It is defined in all points where the denominator 3x+1 is not 0. It is zero at the point x=-1/3, obviously.\r<BR>\n" );
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document.write( "So, the <B>domain</B> is all X except -1/3. \r<BR>\n" );
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document.write( "The range is all points, which becomes obvious when you try to draw the graph. The function approaches plus and minus infinity around point x=-1/3, and also gets to zero in point x=-4/5. </SPAN>\n" );
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