document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163827>Question 1163827</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the domain of the function\r<BR>\n" );
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document.write( "f(x) = sqrt of 4x-32\r<BR>\n" );
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document.write( "What is the domain in interval notation?\r<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 #788044 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=788044\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "If you meant to say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+sqrt%284x-32%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+sqrt%284x-32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then we want the stuff under the square root to be either 0 or positive. Taking the square root of a negative number leads to a non-real result. \r<BR>\n" );
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document.write( "Set the radicand <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-32 ALIGN=MIDDLE  ALT=\"4x-32\"   DISABLED_style= \"max-width:90%; height:auto;\" > to be greater than or equal to 0. Isolate x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-32+%3E=+0 ALIGN=MIDDLE  ALT=\"4x-32+%3E=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-32%2B32%3E=0%2B32 ALIGN=MIDDLE  ALT=\"4x-32%2B32%3E=0%2B32\"   DISABLED_style= \"max-width:90%; height:auto;\" > Adding 32 to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%3E=32 ALIGN=MIDDLE  ALT=\"4x%3E=32\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2F4%3E=32%2F4 ALIGN=MIDDLE  ALT=\"4x%2F4%3E=32%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Dividing both sides by 4\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=8 ALIGN=MIDDLE  ALT=\"x%3E=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The domain is any number x such that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E=+8 ALIGN=MIDDLE  ALT=\"x+%3E=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So x = 8 or x is larger than 8. \r<BR>\n" );
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document.write( "To write this in interval notation, we will say [8, infinity) where you'll replace the word \"infinity\" with the infinity symbol. This is the interval from 8 to infinity. We include 8 through the use of the square bracket. The curved parenthesis is always used with infinity because we can't reach infinity (its not a number).\r<BR>\n" );
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document.write( "Answer: [8, infinity)<BR>\n" );
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