document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86309>Question 86309</A>: <I><SPAN STYLE=\"word-break: break-all;\"> im having a hard time with this problem. Find the Domain of  g(x) = [x4 -2x3 + 7] / [3x2 – 10x – 8] and f(x) = [x+1]1/2 / x. Can someone help me? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62408 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=62408\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the Domain of  g(x) = [x^4 -2x^3 + 7] / [3x^2 – 10x – 8] <BR>\n" );
document.write( "Need to find out when the denominator is zero:<BR>\n" );
document.write( "3x^2-10x-8=0<BR>\n" );
document.write( "3x^2-12x+2x-8=0<BR>\n" );
document.write( "3x(x-4)+2(x-4)=0<BR>\n" );
document.write( "(x-4)(3x+2)=0<BR>\n" );
document.write( "x=4 or x=-2/3<BR>\n" );
document.write( "Domain is all real numbers except x=4 and x=-2/3<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "and f(x) = [x+1]^(1/2) / x.<BR>\n" );
document.write( "x in the denominator cannot be zero<BR>\n" );
document.write( "x+1 must be >=0<BR>\n" );
document.write( "x>=-1<BR>\n" );
document.write( "Domain is all Real Numbers greater than or equal to -1 excluding zero.<BR>\n" );
document.write( "===========<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );