document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1048416>Question 1048416</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me on this question?<BR>\n" );
document.write( "If m(x)= x+5/x-1 and n(x) = x – 3, which function has the same domain as (m of n)(x)?<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 #663995 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=663995\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%28x%29=+%28x%2B5%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"m%28x%29=+%28x%2B5%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%28x%29+=+%28x+-3%29 ALIGN=MIDDLE  ALT=\"+n%28x%29+=+%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=m%28x%29=+%28x%2B5%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"m%28x%29=+%28x%2B5%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> since denominator cannot be equal to zero, exclude \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so domain is { <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > element  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E1 ALIGN=MIDDLE  ALT=\"x%3C%3E1\"   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=+n%28x%29+=+%28x+-3%29 ALIGN=MIDDLE  ALT=\"+n%28x%29+=+%28x+-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> since denominator cannot be equal to zero, exclude \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;\" >, so domain is { <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > element  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E3 ALIGN=MIDDLE  ALT=\"x%3C%3E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > }\r<BR>\n" );
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document.write( "which function has the same domain as\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28m+_of_+n%29%28x%29=m%28n%28x%29%29 ALIGN=MIDDLE  ALT=\"%28m+_of_+n%29%28x%29=m%28n%28x%29%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=m%28n%28x%29%29=m%28+%28x%2B5%29%2F%28x-1%29+%29 ALIGN=MIDDLE  ALT=\"m%28n%28x%29%29=m%28+%28x%2B5%29%2F%28x-1%29+%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=m%28+%28x%2B5%29%2F%28x-1%29+%29=%28x%2B5%29%2F%28x-1%29-3 ALIGN=MIDDLE  ALT=\"m%28+%28x%2B5%29%2F%28x-1%29+%29=%28x%2B5%29%2F%28x-1%29-3\"   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=m%28+%28x%2B5%29%2F%28x-1%29+%29=%28x%2B5%29%2F%28x-1%29-3%28x-1%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"m%28+%28x%2B5%29%2F%28x-1%29+%29=%28x%2B5%29%2F%28x-1%29-3%28x-1%29%2F%28x-1%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=m%28+%28x%2B5%29%2F%28x-1%29+%29=%28x%2B5%29%2F%28x-1%29-%283x-3%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"m%28+%28x%2B5%29%2F%28x-1%29+%29=%28x%2B5%29%2F%28x-1%29-%283x-3%29%2F%28x-1%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=m%28+%28x%2B5%29%2F%28x-1%29+%29=%28x%2B5-%283x-3%29%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"m%28+%28x%2B5%29%2F%28x-1%29+%29=%28x%2B5-%283x-3%29%29%2F%28x-1%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=m%28+%28x%2B5%29%2F%28x-1%29+%29=%28x%2B5-3x%2B3%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"m%28+%28x%2B5%29%2F%28x-1%29+%29=%28x%2B5-3x%2B3%29%2F%28x-1%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=m%28+%28x%2B5%29%2F%28x-1%29+%29=%28-2x%2B8%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"m%28+%28x%2B5%29%2F%28x-1%29+%29=%28-2x%2B8%29%2F%28x-1%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=m%28+%28x%2B5%29%2F%28x-1%29+%29=-2%28x-4%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"m%28+%28x%2B5%29%2F%28x-1%29+%29=-2%28x-4%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and the domain is: \r<BR>\n" );
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document.write( "{ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > element  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E1 ALIGN=MIDDLE  ALT=\"x%3C%3E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > }\r<BR>\n" );
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document.write( " so,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%28x%29 ALIGN=MIDDLE  ALT=\"m%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > have same as domain as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28m+_of_+n%29%28x%29 ALIGN=MIDDLE  ALT=\"%28m+_of_+n%29%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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