document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=921683>Question 921683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i am stuck on the following hw problem. included is a pic of the problem\r<BR>\n" );
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document.write( "http://imgur.com/IPhMu79\r<BR>\n" );
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document.write( "any help would be appreciated </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #559158 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=559158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = |x-38|\r<BR>\n" );
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document.write( "g(x) = -13x+5\r<BR>\n" );
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document.write( "find (g o f)(x)\r<BR>\n" );
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document.write( "simplify your answer.\r<BR>\n" );
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document.write( "(g o f) = g(f(x)) = g(|x-38|) = -13 * |x-38| + 5\r<BR>\n" );
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document.write( "i don't believe it can be simplified any further than that.\r<BR>\n" );
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document.write( "you can test to see if the equation holds true by picking a value for x and then working the problem.\r<BR>\n" );
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document.write( "assume x = 5\r<BR>\n" );
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document.write( "f(x) = |5-38| = |-33| = 33\r<BR>\n" );
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document.write( "g(f(x)) is therefore equal to g(33) which is equal to -13*33 + 5 which is equal to -424.\r<BR>\n" );
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document.write( "if you set h(x) = (g o f)(x) = g(f(x)), then h(x) = -13 * |x-38| + 5\r<BR>\n" );
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document.write( "when x = 5, this becomes -13 * |5-38| + 5 which becomes -13 * 33 + 5 which becomes -424 which is the same as we got before.\r<BR>\n" );
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document.write( "i think your answer is that:\r<BR>\n" );
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document.write( "(g o f)(x) = g(f(x)) = -13 * |x-38| + 5\r<BR>\n" );
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document.write( " </SPAN>\n" );
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