document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199967>Question 199967</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the inverse of: f(x)=3/2x-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150328 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=150328\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Is the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%283%2F2%29x-1 ALIGN=MIDDLE  ALT=\"f%28x%29=%283%2F2%29x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ??? If so, then....\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%283%2F2%29x-1 ALIGN=MIDDLE  ALT=\"f%28x%29=%283%2F2%29x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given function\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%283%2F2%29x-1 ALIGN=MIDDLE  ALT=\"y=%283%2F2%29x-1\"   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=%283%2F2%29y-1 ALIGN=MIDDLE  ALT=\"x=%283%2F2%29y-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Swap x and y\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1=%283%2F2%29y ALIGN=MIDDLE  ALT=\"x%2B1=%283%2F2%29y\"   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=2%28x%2B1%29=3y ALIGN=MIDDLE  ALT=\"2%28x%2B1%29=3y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29%28x%2B1%29=y ALIGN=MIDDLE  ALT=\"%282%2F3%29%28x%2B1%29=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 3.\r<BR>\n" );
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document.write( "So the inverse is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f^{-1}(x)=\frac{2}{3}\left(x+1\right)\">\r<BR>\n" );
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document.write( "Or....\r<BR>\n" );
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document.write( "Is the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=3%2F%282x-1%29 ALIGN=MIDDLE  ALT=\"f%28x%29=3%2F%282x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ??? If so, then....\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=3%2F%282x-1%29 ALIGN=MIDDLE  ALT=\"f%28x%29=3%2F%282x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given function\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%2F%282x-1%29 ALIGN=MIDDLE  ALT=\"y=3%2F%282x-1%29\"   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=3%2F%282y-1%29 ALIGN=MIDDLE  ALT=\"x=3%2F%282y-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Swap x and 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=3 ALIGN=MIDDLE  ALT=\"x%282y-1%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y-1 ALIGN=MIDDLE  ALT=\"2y-1\"   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=2xy-x=3 ALIGN=MIDDLE  ALT=\"2xy-x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2xy=3%2Bx ALIGN=MIDDLE  ALT=\"2xy=3%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add \"x\" to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%283%2Bx%29%2F%282x%29 ALIGN=MIDDLE  ALT=\"y=%283%2Bx%29%2F%282x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So the inverse is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f^{-1}(x)=\frac{3+x}{2x}\"> </SPAN>\n" );
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