document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=128271>Question 128271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, Can I please have some help with this problem about functions? thank you!\r<BR>\n" );
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document.write( "An appliance dealer advertises a 15% discount on all his washing machines. In addition, the manufacturer offers a $80 rebate on the purchase of a washing machine. Let x represent the sticker price of the washing machine.<BR>\n" );
document.write( "(a) Suppose only the 15% discount applies. Fund a function f that models the purchase price of the washer as a function of the sticker price x<BR>\n" );
document.write( "f(x) =\r<BR>\n" );
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document.write( "(b) Suppose only the $80 rebate applies. Find a function g that models the purchase price of the washer as a function of the sticker price x.<BR>\n" );
document.write( "g(x) =\r<BR>\n" );
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document.write( "(c) Find f º g.\r<BR>\n" );
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document.write( "(d) Find g º f.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93920 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=93920\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An appliance dealer advertises a 15% discount on all his washing machines. In addition, the manufacturer offers a $80 rebate on the purchase of a washing machine. Let x represent the sticker price of the washing machine.<BR>\n" );
document.write( "(a) Suppose only the 15% discount applies. Fund a function f that models the purchase price of the washer as a function of the sticker price x<BR>\n" );
document.write( "f(x) = 0.85x<BR>\n" );
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document.write( "(b) Suppose only the $80 rebate applies. Find a function g that models the purchase price of the washer as a function of the sticker price x.<BR>\n" );
document.write( "g(x) = x - 80<BR>\n" );
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document.write( "(c) Find f º g(x) = f[x-80] = 0.85(x-80) = 0.85x-0.68<BR>\n" );
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document.write( "(d) Find g º f(x) = g[0.85x] = 0.85x-80<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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