document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=93238>Question 93238</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am so lost, if anyone could please answer this one I'd really appreciate it: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I+am+so+lost%2C+if+anyone+could+please+answer+this+one+I%27d+really+appreciate+it%3A+ ALIGN=MIDDLE  ALT=\"I+am+so+lost%2C+if+anyone+could+please+answer+this+one+I%27d+really+appreciate+it%3A+\"   DISABLED_style= \"max-width:90%; height:auto;\" >What is the domain of g(x) when  g(x)=(x+3)/(2x-5)}} </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67885 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=67885\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In domain problems you are looking for values of x ... in particular you are looking for<BR>\n" );
document.write( "any values that x cannot have.<BR>\n" );
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document.write( "In this problem you are given:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=%28x%2B3%29%2F%282x-5%29 ALIGN=MIDDLE  ALT=\"g%28x%29=%28x%2B3%29%2F%282x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Notice that you are dividing by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x+-+5%29 ALIGN=MIDDLE  ALT=\"%282x+-+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Recall that division by zero is not allowed<BR>\n" );
document.write( "in algebra.  So the denominator cannot be zero. This means that:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+-+5+=+0 ALIGN=MIDDLE  ALT=\"2x+-+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "is not allowed to happen. So solve this equation to find out what value of x would make <BR>\n" );
document.write( "the denominator equal to zero.<BR>\n" );
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document.write( "Begin by adding +5 to both sides of the equation to get rid of the -5 on the left side.<BR>\n" );
document.write( "This addition to both sides makes the equation become:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+5 ALIGN=MIDDLE  ALT=\"2x+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Then solve for x by dividing both sides of the equation by 2 to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5%2F2 ALIGN=MIDDLE  ALT=\"x+=+5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This says that x cannot have the value <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F2 ALIGN=MIDDLE  ALT=\"5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > because if it does, the denominator<BR>\n" );
document.write( "of the given expression becomes zero and, as you know, division by zero is not permitted.<BR>\n" );
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document.write( "Other than that there is no other value of x that causes a problem. Since the domain is<BR>\n" );
document.write( "the values that x is allowed to have you can say that x can be any value from minus infinity<BR>\n" );
document.write( "to plus infinity except x cannot be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F2 ALIGN=MIDDLE  ALT=\"5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
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document.write( "Hope this helps you to understand the problem. In domain problems one of the things<BR>\n" );
document.write( "to always look for is \"are there any terms that will cause a division by zero?\" and solve<BR>\n" );
document.write( "those terms for values of x that will cause them to go to zero. Those are values that x<BR>\n" );
document.write( "cannot be allowed to take.<BR>\n" );
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