document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=850038>Question 850038</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the inverse of this function ?<BR>\n" );
document.write( "f(x)= -&#8730;(x+5)+3 \r<BR>\n" );
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document.write( "Thanks for any help. \r<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 #511925 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=511925\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Quick way,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-sqrt%28y%2B5%29%2B3 ALIGN=MIDDLE  ALT=\"x=-sqrt%28y%2B5%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, roles of x and y were switched. y represents the original f(x), a representation only.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3=-sqrt%28y%2B5%29 ALIGN=MIDDLE  ALT=\"x-3=-sqrt%28y%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-6x%2B9=y%2B5 ALIGN=MIDDLE  ALT=\"x%5E2-6x%2B9=y%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2-6x%2B9-5 ALIGN=MIDDLE  ALT=\"y=x%5E2-6x%2B9-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y=x%5E2-6x%2B4%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=x%5E2-6x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "That is not yet finished.  You need to know the vertex, because f(x) was the lower half of a parabola, so the inverse must correspond to that lower half.\r<BR>\n" );
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document.write( "Put into standard form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2-6x+%2B%286%2F2%29%5E2-%286%2F2%29%5E2%2B4 ALIGN=MIDDLE  ALT=\"y=x%5E2-6x+%2B%286%2F2%29%5E2-%286%2F2%29%5E2%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----Completing the Square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x-3%29%5E2%2B4-9 ALIGN=MIDDLE  ALT=\"y=%28x-3%29%5E2%2B4-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%28x-3%29%5E2-5%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%28x-3%29%5E2-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------vertex is (3,-5)\r<BR>\n" );
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document.write( "We must include the restriction, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%3C=3%29 ALIGN=MIDDLE  ALT=\"highlight%28x%3C=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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