document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=80380>Question 80380</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0495105104/algebrahomeworkh>Algebra for college students</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the inverse of the function f(x)= -3x-6. I know the answer is<BR>\n" );
document.write( "                                                                      -6-x<BR>\n" );
document.write( "                                                         f-1(x)=     ------<BR>\n" );
document.write( "                                                                        3\r<BR>\n" );
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document.write( "I only need the solution on how it was figured out. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57665 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=57665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+-3x+-+6 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-3x+-+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Find the inverse through the following process.<BR>\n" );
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document.write( "First replace f(x) with y to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-3x+-+6 ALIGN=MIDDLE  ALT=\"y+=+-3x+-+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now replace x by y and y by x to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-3y+-+6 ALIGN=MIDDLE  ALT=\"x+=+-3y+-+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Solve this equation for y just as you would an ordinary equation.  This can be done by<BR>\n" );
document.write( "first adding 6 to both sides of the equation to eliminate the -6 on the right side to <BR>\n" );
document.write( "get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+6+=+-3y ALIGN=MIDDLE  ALT=\"x+%2B+6+=+-3y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Then solve for y by dividing both sides by -3<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+6%29%2F-3+=+-3y%2F-3 ALIGN=MIDDLE  ALT=\"%28x+%2B+6%29%2F-3+=+-3y%2F-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Simplifying this results in:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28x+%2B+6%29%2F3+=+y ALIGN=MIDDLE  ALT=\"-%28x+%2B+6%29%2F3+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Transpose sides and the result is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%28x%2B6%29%2F3+ ALIGN=MIDDLE  ALT=\"y+=+-%28x%2B6%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Apply the negative sign in front of the right side to each of the terms in the numerator<BR>\n" );
document.write( "and you get: <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-x+-+6%29%2F3+ ALIGN=MIDDLE  ALT=\"y+=+%28-x+-+6%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Finally replace y by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1 ALIGN=MIDDLE  ALT=\"f%5E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1+=+%28-x-6%29%2F3 ALIGN=MIDDLE  ALT=\"f%5E-1+=+%28-x-6%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Other than reversing the order of the two terms in the numerator this is the <BR>\n" );
document.write( "answer you<BR>\n" );
document.write( "gave in the problem.<BR>\n" );
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document.write( "Hope this helps you understand the four basic steps in finding the inverse of a function:<BR>\n" );
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document.write( "1. Replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29 ALIGN=MIDDLE  ALT=\"f%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > with y<BR>\n" );
document.write( "2. Interchange x and y<BR>\n" );
document.write( "3. Solve for y in terms of x and<BR>\n" );
document.write( "4. Replace y with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1 ALIGN=MIDDLE  ALT=\"f%5E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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