document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=919876>Question 919876</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the inverse function of y = &#8730;(x^2-5x-6)\r<BR>\n" );
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document.write( "I have tried doing:<BR>\n" );
document.write( "x = &#8730;(y^2-5y-6)<BR>\n" );
document.write( "x^2 = y^2-5y-6.......and couldn't isolate y from here.\r<BR>\n" );
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document.write( "Thank-you for your time! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #558025 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=558025\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The roles of domain and range are switched from function to inverse.<BR>\n" );
document.write( "Your given functional-form equation to start with is the upper half of a parabola with a horizontal symmetry axis.<BR>\n" );
document.write( "Try completing-the-square to have a better understanding of your given parabola.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-5x-6%2B%285%2F2%29%5E2-%285%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-5x-6%2B%285%2F2%29%5E2-%285%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-5x%2B%285%2F2%29%5E2-6-%285%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-5x%2B%285%2F2%29%5E2-6-%285%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%2F2%29%5E2-6-25%2F4 ALIGN=MIDDLE  ALT=\"%28x-5%2F2%29%5E2-6-25%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%2F2%29%5E2-24%2F4-25%2F4 ALIGN=MIDDLE  ALT=\"%28x-5%2F2%29%5E2-24%2F4-25%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%2F2%29%5E2-49%2F4 ALIGN=MIDDLE  ALT=\"%28x-5%2F2%29%5E2-49%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, what you are starting with is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y=sqrt%28%28x-5%2F2%29%5E2-49%2F4%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=sqrt%28%28x-5%2F2%29%5E2-49%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The vertex for this given equation is (5/2,-49/4).<BR>\n" );
document.write( "The shape is horizontal parabola.<BR>\n" );
document.write( "DOMAIN:  x values must be greater than 5/2.<BR>\n" );
document.write( "RANGE:  y values are greater than or equal to -49/4.\r<BR>\n" );
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document.write( "If you want to now use the simple method of just switching x and y roles in the given equation, you can; and just solve that for y; and remember you must choose the RIGHT-HAND branch of the function. </SPAN>\n" );
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