document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1134050>Question 1134050</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	(6 pts) Given  f(x)=|x-7| and g(x)=|x+5|, which of the following is the domain of the quotient function ? Briefly explain.				                              <BR>\n" );
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document.write( "	A.	(-5,∞)<BR>\n" );
document.write( "	B.	(-∞,-5)  ∪ (-5,7)  ∪ (7,∞)<BR>\n" );
document.write( "	C.	(-7,-5)  ∪ (-5,∞)<BR>\n" );
document.write( "	D.	(-∞,-5)∪(-5,∞)\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 #751337 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=751337\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the function is abs(x-7) / abs(x+5)\r<BR>\n" );
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document.write( "abs(x+5) is in the denominator.\r<BR>\n" );
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document.write( "the denominator will be 0 when x = -5\r<BR>\n" );
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document.write( "therefore there is a vertical asymptote at x = -5\r<BR>\n" );
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document.write( "both the numerator and the denominator can only be 0 or positive since both numerator and denominator expression are within the absolute value signs.\r<BR>\n" );
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document.write( "this means that the overall function will always be greater than or equal to zero because a positive divided by a positive is always positive.\r<BR>\n" );
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document.write( "consequently, all values of the function f(x) / g(x) will be positive except at x = -5 when the function has a vertical asymptote.\r<BR>\n" );
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document.write( "the graph of the function is shown below.\r<BR>\n" );
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document.write( "first is a near end view.<BR>\n" );
document.write( "next is a far end view.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2019/020401.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2019/020402.jpg\" alt=\"$$$\" >\r<BR>\n" );
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