document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91997>Question 91997</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone check my work. You can't imagine how grateful I am to this site and to all of the tutors. I am able to see step by step my mistakes. thank you.\r<BR>\n" );
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document.write( "state the domain...I think I have it...maybe<BR>\n" );
document.write( "f(x) = sq rt x+4<BR>\n" );
document.write( "            x + 4 = 0 - 4<BR>\n" );
document.write( "                x = -4 is the domain???\r<BR>\n" );
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document.write( "g(x) = 2x+1/x-3<BR>\n" );
document.write( "        x-3= 0<BR>\n" );
document.write( "        x - 3 = 0 + 3<BR>\n" );
document.write( "            x = 3\r<BR>\n" );
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document.write( "h(x)= 3x^2 + 5x - 3<BR>\n" );
document.write( "       all of the numbers are real, correct?<BR>\n" );
document.write( "      or<BR>\n" );
document.write( "        9x + 5x -3<BR>\n" );
document.write( "        14x-3 = 0<BR>\n" );
document.write( "        that's not right\r<BR>\n" );
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document.write( "l(x) = 2x + 3<BR>\n" );
document.write( "       D = all real numbers\r<BR>\n" );
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document.write( "m(x) = 3/x^2 + 7<BR>\n" );
document.write( "         x + 7 = 0<BR>\n" );
document.write( "         x + 7 = 0 - 7<BR>\n" );
document.write( "             x = -7<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 #66819 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=66819\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+sqrt%28x%2B4%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+sqrt%28x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Set the radicand (everything in the square root) greater than zero (remember you cannot take the square root of a negative number)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4%3E0 ALIGN=MIDDLE  ALT=\"x%2B4%3E0\"   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=x%3E-4 ALIGN=MIDDLE  ALT=\"x%3E-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 4 from both sides\r<BR>\n" );
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document.write( "So the domain is x can be any number greater than -4\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+%282x%2B1%29%2F%28x-3%29 ALIGN=MIDDLE  ALT=\"g%28x%29+=+%282x%2B1%29%2F%28x-3%29\"   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=x-3=0 ALIGN=MIDDLE  ALT=\"x-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Set the denominator 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=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 3 to both sides. So x=3 is excluded from the domain since it makes the denominator equal to zero\r<BR>\n" );
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document.write( "So x can be any number except 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29=+3x%5E2+%2B+5x+-+3 ALIGN=MIDDLE  ALT=\"h%28x%29=+3x%5E2+%2B+5x+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "you are correct, x can be any real number\r<BR>\n" );
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document.write( "l(x) = 2x + 3\r<BR>\n" );
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document.write( "you are correct, x can be any real number\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%28x%29+=+3%2F%28x%5E2+%2B+7%29 ALIGN=MIDDLE  ALT=\"m%28x%29+=+3%2F%28x%5E2+%2B+7%29\"   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=x%5E2+%2B+7=0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+7=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Set the denominator 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%5E2=-7 ALIGN=MIDDLE  ALT=\"x%5E2=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 7 from both sides\r<BR>\n" );
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document.write( "Since you cannot take the square root of a negative and get a real answer, there  are no values of x that will make <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+7 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > equal zero. So the domain is x is an element of all real numbers </SPAN>\n" );
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