document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=220294>Question 220294</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need an equation that has a domain of [-4, 5/3) U (5/3, infinity)\r<BR>\n" );
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document.write( "if you could at least walk me through how to find it, that would be great. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165437 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=165437\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5/3 can't be part of the domain.<BR>\n" );
document.write( "If you divide by (3x-5) then when x = (5/3) you will be dividing by 0 because 3*(5/3) - 5 = 5-5 = 0.<BR>\n" );
document.write( "That makes x = (5/3) not part of the domain.<BR>\n" );
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document.write( "Your equation will be something divided by (x-5/3).<BR>\n" );
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document.write( "Now we need to restrict your domain to values of x >= -4<BR>\n" );
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document.write( "We can do that with square root of something that makes the something inside the square root negative when x < -4.<BR>\n" );
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document.write( "Equation of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+sqrt%28%28x%2B4%29%29%2F%283x-5%29 ALIGN=MIDDLE  ALT=\"y+=+sqrt%28%28x%2B4%29%29%2F%283x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > should do it.<BR>\n" );
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document.write( "When x < -4, expression within the square root sign is negative.  This forces the domain to be >= -4.<BR>\n" );
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document.write( "When x = 5/3, denominator is 0 causing value of the equation to be undefined.  This forces the domain to exclude x = 5/3.<BR>\n" );
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document.write( "Graph of this equation is shown below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph+%28300%2C300%2C-5%2C5%2C-5%2C5%2Csqrt%28%28x%2B4%29%29%2F%283x-5%29%29 ALIGN=MIDDLE  ALT=\"graph+%28300%2C300%2C-5%2C5%2C-5%2C5%2Csqrt%28%28x%2B4%29%29%2F%283x-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Table of Values from x = -10 to x = 10 are shown below:<BR>\n" );
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document.write( "x_______________y<BR>\n" );
document.write( "-10____________#NUM!<BR>\n" );
document.write( "-9____________#NUM!<BR>\n" );
document.write( "-8____________#NUM!<BR>\n" );
document.write( "-7____________#NUM!<BR>\n" );
document.write( "-6____________#NUM!<BR>\n" );
document.write( "-5____________#NUM!<BR>\n" );
document.write( "-4____________0<BR>\n" );
document.write( "-3____________-0.071428571<BR>\n" );
document.write( "-2____________-0.128564869<BR>\n" );
document.write( "-1____________-0.216506351<BR>\n" );
document.write( "0____________-0.4<BR>\n" );
document.write( "1____________-1.118033989<BR>\n" );
document.write( "(5/3)________#DIV/0!<BR>\n" );
document.write( "2____________2.449489743<BR>\n" );
document.write( "3____________0.661437828<BR>\n" );
document.write( "4____________0.404061018<BR>\n" );
document.write( "5____________0.3<BR>\n" );
document.write( "6____________0.243252128<BR>\n" );
document.write( "7____________0.207289049<BR>\n" );
document.write( "8____________0.182321138<BR>\n" );
document.write( "9____________0.163888694<BR>\n" );
document.write( "10____________0.149666295\r<BR>\n" );
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document.write( " </SPAN>\n" );
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