document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85127>Question 85127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the domain of f(x)= 6x+5/x+5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61352 by </B><A HREF=/tutors/aboutme.mpl?userid=chitra><B>chitra(359)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chitra><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=61352\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here the given function is f(x)= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286x+%2B+5%29%2F%28+x+%2B+5%29 ALIGN=MIDDLE  ALT=\"%286x+%2B+5%29%2F%28+x+%2B+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Here we observe that the given function has both the numerator and a denominator. Here we see to that plugging in any of the values for \"x\" does not make the entire function to zero.  So to find the domain we equate the denominator to zero. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Here the domain is x + 5 \r<BR>\n" );
document.write( "\n" );
document.write( "==> x + 5 = 0 \r<BR>\n" );
document.write( "\n" );
document.write( "==> x = -5 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This implies that the domain consists of all the real numbers except -5 (since plugging in x = -5 makes the entire function zero)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Hence, D = {R - (-5)}  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Hence, the solution.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Regards<BR>\n" );
document.write( "-- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );