document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209951>Question 209951</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the domain of the function.<BR>\n" );
document.write( "f(x)=square root of x+6  (divided by)<BR>\n" );
document.write( "     6+x\r<BR>\n" );
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document.write( "Please help I am really confused I got \"All real numbers except x=-6 but I also got x is greater than or equal to 6. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158723 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=158723\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming that your problem is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+%28sqrt%28x%2B6%29%29%2F%286%2Bx%29+ ALIGN=MIDDLE  ALT=\"f%28x%29+=+%28sqrt%28x%2B6%29%29%2F%286%2Bx%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, there are TWO restrictions here.  First, since there is a square root in the numerator, the quantity inside the radical, x+6 MUST BE greater than or equal to zero.  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B6%3E=0+ ALIGN=MIDDLE  ALT=\"x%2B6%3E=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=-6 ALIGN=MIDDLE  ALT=\"x%3E=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "However, there is a second restriction because of the denominator.  Denominators must NEVER equal zero.  Anything that causes the denominator to equal zero is ILLEGAL and must NOT be allowed.  So in this case, 6+x CANNOT equal zero, so x CANNOT equal -6.  \r<BR>\n" );
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document.write( "The second restriction must be applied as well as the first restriction, so therefore, the TOTAL restriction is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E-6 ALIGN=MIDDLE  ALT=\"x%3E-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Final Answer!\r<BR>\n" );
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document.write( "Please see my non-traditional explanation of \"Functions, Domain, and Range\" by visiting my website.  Go to my website by clicking on my tutor name \"Rapaljer\" anywhere in algebra.com, and look on my Homepage for the \"MATH IN LIVING COLOR\" topic.  You can't miss it.  Then select \"College Algebra\" and look in Chapter 2 for the topic \"Functions, Domain, and Range\".  There you will find my very \"non-traditional\" explanation (that means \"easier to understand\" than your textbook that you spent so much money for!!), and it's in LIVING COLOR--and ALL FREE!!!\r<BR>\n" );
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document.write( "R^2\r<BR>\n" );
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document.write( "Dr. Robert J. Rapalje<BR>\n" );
document.write( "Seminole Community College<BR>\n" );
document.write( "Altamonte Springs Campus<BR>\n" );
document.write( "Florida </SPAN>\n" );
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