document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1068242>Question 1068242</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the function f(x) = 8-x^2 for the domain [0,infinity). <BR>\n" );
document.write( "Find f ^-1 (x), where f ^-1 is the inverse of f.<BR>\n" );
document.write( "Also state the domain of f ^-1 in interval notation. \r<BR>\n" );
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document.write( "f ^-1 (x) = ________ for the domain ________\r<BR>\n" );
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document.write( "Appreciate help on this question. Thank you.\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 #683413 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</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=683413\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The RANGE for f(x)=8-x^2 using the domain  [0,infinity)  is [0,8].  This will then become the domain for the inverse function.\r<BR>\n" );
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document.write( "Quick-switch<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8-y%5E2=x ALIGN=MIDDLE  ALT=\"8-y%5E2=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-y%5E2=x-8 ALIGN=MIDDLE  ALT=\"-y%5E2=x-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=-x%2B8 ALIGN=MIDDLE  ALT=\"y%5E2=-x%2B8\"   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=sqrt%288-x%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y=sqrt%288-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the upper branch being what is wanted here.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-2%2C10%2C-2%2C10%2C8-x%5E2%2Csqrt%288-x%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-2%2C10%2C-2%2C10%2C8-x%5E2%2Csqrt%288-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f in red<BR>\n" );
document.write( "f^-1 in green </SPAN>\n" );
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