document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=905989>Question 905989</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
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document.write( "Here is my problematic road block:\r<BR>\n" );
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document.write( "Consider the function f(x) = (9 - x) / (x + 10) + 2.  Algebraically determine the domain and all intercepts.\r<BR>\n" );
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document.write( "Thank you in advance,<BR>\n" );
document.write( "Ryan </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #549587 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=549587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> equation is f(x) = y = (9-x)/(x+10)+2\r<BR>\n" );
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document.write( "the domain is undefined when x = -10.\r<BR>\n" );
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document.write( "that's because the denominator becomes 0.\r<BR>\n" );
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document.write( "the y-intercept is the value of y when x = 0.\r<BR>\n" );
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document.write( "when x = 0, the equation becomes f(x) = y = (9-0)/0+10)+2 which becomes f(x) = y = 9/10+2 which becomes f(x) = y = 2.9\r<BR>\n" );
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document.write( "the y-intercept is when x = 2.9\r<BR>\n" );
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document.write( "the x-intercept occurs when y = 0.\r<BR>\n" );
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document.write( "set f(x) = y = 0 = (9-x)/(x+10)+2\r<BR>\n" );
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document.write( "shorten this to (9-x)/(x+10)+2 = 0\r<BR>\n" );
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document.write( "multiply both sides of the equation by (x+10) to get:\r<BR>\n" );
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document.write( "(9-x) + 2(x+10) = 0\r<BR>\n" );
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document.write( "simplify to get 9 - x + 2x + 20 = 0\r<BR>\n" );
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document.write( "combine like terms to get x + 29 = 0\r<BR>\n" );
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document.write( "subtract 29 from both sides of the equation to get x = -29\r<BR>\n" );
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document.write( "your x-intercept is x = -29\r<BR>\n" );
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document.write( "to summarize, you have:\r<BR>\n" );
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document.write( "domain = all real numbers except x = -10<BR>\n" );
document.write( "y-intercept equals y = 2.9<BR>\n" );
document.write( "x-intercept equals x = -29\r<BR>\n" );
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document.write( "a graph of your equation is shown below.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://theo.x10hosting.com/2014/092503.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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