document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135783>Question 1135783</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the inverse of the one-to-one function.\r<BR>\n" );
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document.write( "f(x) =      2x-1<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #753463 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=753463\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"times\" color=\"black\" size=\"3\"><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+%282x-1%29%2F7 ALIGN=MIDDLE  ALT=\"f%28x%29+=+%282x-1%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Original function\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%282x-1%29%2F7 ALIGN=MIDDLE  ALT=\"y+=+%282x-1%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace f(x) with y\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%282y-1%29%2F7 ALIGN=MIDDLE  ALT=\"x+=+%282y-1%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Swap x and y; from here we solve for y\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x+=+2y-1 ALIGN=MIDDLE  ALT=\"7x+=+2y-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 7\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B1+=+2y ALIGN=MIDDLE  ALT=\"7x%2B1+=+2y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 1 to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y+=+7x%2B1 ALIGN=MIDDLE  ALT=\"2y+=+7x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Swap both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%287x%2B1%29%2F2 ALIGN=MIDDLE  ALT=\"y+=+%287x%2B1%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large f^{-1}(x) = \frac{7x+1}{2}\"> Replace y with inverse function notation\r<BR>\n" );
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document.write( "The inverse is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f^{-1}(x) = \frac{7x+1}{2}\">\r<BR>\n" );
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document.write( "Side note: This is the same as writing <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large f^{-1}(x) = \frac{7}{2}x+\frac{1}{2}\">\r<BR>\n" );
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