document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=507081>Question 507081</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the domain of f(x)= sqrt{x^2 - 36} </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #340725 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=340725\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The domain is all the values that x is allowed to take by the rules of algebra.<BR>\n" );
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document.write( "The rules of algebra say that you cannot take the square root of a negative number.<BR>\n" );
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document.write( "Therefore the quantity for which you are trying to find a square root must be zero or positive.<BR>\n" );
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document.write( "This means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+36 ALIGN=MIDDLE  ALT=\"x%5E2+-+36\"   DISABLED_style= \"max-width:90%; height:auto;\" > is allowed to be zero or positive (greater than zero). So we can write:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+36+%3E=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+36+%3E=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Add 36 to both sides of this inequality to eliminate the -36 on the left side. The inequality becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%3E=+36 ALIGN=MIDDLE  ALT=\"x%5E2+%3E=+36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Take the square root of both sides to find that:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E=+sqrt%2836%29 ALIGN=MIDDLE  ALT=\"x+%3E=+sqrt%2836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<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;\" ><BR>\n" );
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document.write( "Therefore the domain of x is that x is allowed to take the value +6 and any other positive value greater than +6. This is the answer to this problem.<BR>\n" );
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document.write( "Hope this helps you to understand this problem better. </SPAN>\n" );
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