document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=841947>Question 841947</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the function f(x)= 4-x/(divided by) x+5 +. Algebraically determine the domain and all intercepts.<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 #507280 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=507280\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming the denominator is x+5, this means that x+5 = 0 ---> x = -5 makes the denominator zero. We CANNOT divide by zero. So x can be any number you want but x cannot be equal to -5\r<BR>\n" );
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document.write( "Domain: Set of all real numbers but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-5 ALIGN=MIDDLE  ALT=\"x%3C%3E-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To find the y-intercept, plug in x = 0 and evaluate\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%284-x%29%2F%28x%2B5%29 ALIGN=MIDDLE  ALT=\"y+=+%284-x%29%2F%28x%2B5%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=y+=+%284-0%29%2F%280%2B5%29 ALIGN=MIDDLE  ALT=\"y+=+%284-0%29%2F%280%2B5%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=y+=+4%2F5 ALIGN=MIDDLE  ALT=\"y+=+4%2F5\"   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=y+=+0.8 ALIGN=MIDDLE  ALT=\"y+=+0.8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The y-intercept is (0, 0.8) or (0, 4/5)\r<BR>\n" );
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document.write( "To find the x-intercept, plug in y = 0 and solve for x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+%284-x%29%2F%28x%2B5%29 ALIGN=MIDDLE  ALT=\"0+=+%284-x%29%2F%28x%2B5%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=0%28x%2B5%29+=+4-x ALIGN=MIDDLE  ALT=\"0%28x%2B5%29+=+4-x\"   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=0+=+4-x ALIGN=MIDDLE  ALT=\"0+=+4-x\"   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+=+4 ALIGN=MIDDLE  ALT=\"x+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The x-intercept is (4,0) </SPAN>\n" );
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