document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=72950>Question 72950</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need some serious help. I need to know how to solve some equations. I have a test coming up and I am STUCK!\r<BR>\n" );
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document.write( "For the function defined by f(x) =2-x^2, 0 (greater than,or equalto) x, use a sketch to help find formula for f-1(x).\r<BR>\n" );
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document.write( "Someone please show me how to do this. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52283 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=52283\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the function defined by f(x) =2-x^2, 0 (greater than,or equalto) x, use a sketch to help find formula for f-1(x). <BR>\n" );
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document.write( "Your f(x) is the right half of a parabola with vertex at (0,2) and opening<BR>\n" );
document.write( "downward.<BR>\n" );
document.write( "Draw the line y=x on the same coordinate axes.<BR>\n" );
document.write( "Now, \"reflect\" the curve in the line y=x.<BR>\n" );
document.write( "Each point (a,b) in the original curve will become (b,a) in the new curve.<BR>\n" );
document.write( "(0,2) has as its reflection the point (2,0).<BR>\n" );
document.write( "Do this for all the points of the curve to get a sketch of f^-1(x), which<BR>\n" );
document.write( "is the inverse of f(x)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C0%2C10%2C-10%2C10%2C2-x%5E2%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C0%2C10%2C-10%2C10%2C2-x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is the graph of f(x); I can't show you f^-1(x).<BR>\n" );
document.write( "=========<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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