document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032450>Question 1032450</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What function would be the inverse of f(x)=3x-6\r<BR>\n" );
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document.write( "Thank you in advance.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #647124 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=647124\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Outline for finding the inverse:<BR>\n" );
document.write( "Step 1) Replace f(x) with y<BR>\n" );
document.write( "Step 2) Swap x and y<BR>\n" );
document.write( "Step 3) Solve for y\r<BR>\n" );
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document.write( "Let's follow that outline\r<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;\" > Start with the original equation\r<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;\" > Replace f(x) with y (see step 1 above)\r<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;\" > Swap x and y (see step 2 above)\r<BR>\n" );
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document.write( "Now we solve for y (step 3 above). To do this, we first add 6 to both sides to undo the subtraction of 6. Then we undo the multiplication of 3 by dividing both sides by 3.\r<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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B6+=+3y-6%2B6 ALIGN=MIDDLE  ALT=\"x%2B6+=+3y-6%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 6 to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B6+=+3y ALIGN=MIDDLE  ALT=\"x%2B6+=+3y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y+=+x%2B6 ALIGN=MIDDLE  ALT=\"3y+=+x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283y%29%2F3+=+%28x%2B6%29%2F3 ALIGN=MIDDLE  ALT=\"%283y%29%2F3+=+%28x%2B6%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 3.\r<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;\" >\r<BR>\n" );
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document.write( "So the inverse function is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f^{-1}(x) = \frac{x+6}{3}\"> which is the final answer. </SPAN>\n" );
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