document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=354644>Question 354644</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I was wondering if someone would be able to help me with the following question. If you can, please show all the work, so I can see how you obtained your answer.\r<BR>\n" );
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document.write( "The regular price of a computer is x dollars. Let F(x) = x-400 and g(x) = 0.75x\r<BR>\n" );
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document.write( "a.) Describe what the functions f and g model in terms of the price of the computer. \r<BR>\n" );
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document.write( "b.) Find (f degree g) (x) and describe what this models in terms of the price of the computer. \r<BR>\n" );
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document.write( "c.) Repeat part (b) for (g degree f) (x).\r<BR>\n" );
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document.write( "d.) Which composite function models the greater discount on the computer, f degree g or g degree f? Explain. \r<BR>\n" );
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document.write( "e.) Find f-1 and describe what this models in terms of the price of the computer. \r<BR>\n" );
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document.write( "I have no idea how to do this question. If anyone can help me, I appreciate it.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #253386 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=253386\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The regular price of a computer is x dollars. Let F(x) = x-400 and g(x) = 0.75x <BR>\n" );
document.write( "a.) Describe what the functions f and g model in terms of the price of the computer.<BR>\n" );
document.write( "F models a discount of 400 on the price of the computer.<BR>\n" );
document.write( "g models a discount of 25% on the cost of the computer<BR>\n" );
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document.write( "b.) Find (f o g) (x) and describe what this models in terms of the price of the computer.<BR>\n" );
document.write( "fog(x) = f[g(x)] = f[0.75x] = 0.75x-400<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Models a discount of 25% followed by a discount of 400 dollars.<BR>\n" );
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document.write( "c.) Repeat part (b) for (g degree f) (x).<BR>\n" );
document.write( "gof(x) = g[x-400] = 0.75(x-400)<BR>\n" );
document.write( "Models a discount of 400 folled by a discount of 25%.<BR>\n" );
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document.write( "d.) Which composite function models the greater discount on the computer, <BR>\n" );
document.write( "fog or gof? Explain.<BR>\n" );
document.write( "Compare:<BR>\n" );
document.write( "gof(x) R fog(x)<BR>\n" );
document.write( "0.75(x-400) R 0.75x-400<BR>\n" );
document.write( "0.75x-300 R 0.75x-400<BR>\n" );
document.write( "gof(x) > fog(x)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "So, fog(x) is the better discount<BR>\n" );
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document.write( "e.) Find f-1 and describe what this models in terms of the price of the computer<BR>\n" );
document.write( "f(x) = x-400<BR>\n" );
document.write( "Interchange x and y:<BR>\n" );
document.write( "x = y-400<BR>\n" );
document.write( "solve for \"y\":<BR>\n" );
document.write( "y = x+400<BR>\n" );
document.write( "----<BR>\n" );
document.write( "The price of the computer is raised 400<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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