document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=456912>Question 456912</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the inverse of:\r<BR>\n" );
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document.write( "f (x) = 4x^ - x^<BR>\n" );
document.write( "               _________<BR>\n" );
document.write( "                                x^ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #313547 by </B><A HREF=/tutors/aboutme.mpl?userid=spacesurfer><B>spacesurfer(12)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=spacesurfer><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=313547\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ok, if you are saying your <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+%284x%5E2-x%5E2%29%2Fx%5E2 ALIGN=MIDDLE  ALT=\"f%28x%29+=+%284x%5E2-x%5E2%29%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then this reduces to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+3x%5E2%2Fx%5E2+=+3 ALIGN=MIDDLE  ALT=\"f%28x%29+=+3x%5E2%2Fx%5E2+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or f(x) = 3 or y = 3.\r<BR>\n" );
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document.write( "To find inverse, we replace y with x and solve for y, but this has no x so the inverse is simply x = 3. Both are lines.\r<BR>\n" );
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document.write( "If you are saying your <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+4x%5E2+-+x%5E2%2Fx%5E2 ALIGN=MIDDLE  ALT=\"f%28x%29+=+4x%5E2+-+x%5E2%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then this reduces to f(x) = 4x^2 - 1 or y = 4x^2 -1. \r<BR>\n" );
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document.write( "Now, replace x with y and solve for y:\r<BR>\n" );
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document.write( "x = 4y^2 - 1 --> 4y^2 = x + 1 --> y^2 = (x + 1)/4 and\r<BR>\n" );
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document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2B-+sqrt%28%28x%2B1%29%2F4%29 ALIGN=MIDDLE  ALT=\"+%2B-+sqrt%28%28x%2B1%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But I think you really didn't write your equation correctly. </SPAN>\n" );
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