document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=936327>Question 936327</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given f(x)=-3x^2+5\r<BR>\n" );
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document.write( "a) Graph f and its inverse.<BR>\n" );
document.write( "b)Determine the equation of the inverse of f.<BR>\n" );
document.write( "c)State the domain and range of f and its inverse </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #569790 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=569790\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The domain of f is the range of its inverse.<BR>\n" );
document.write( "The range of f is the domain of its inverse.\r<BR>\n" );
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document.write( "The vertex of f and the sign of leading coefficient tells you something about range for f.\r<BR>\n" );
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document.write( "The quick way to find the inverse of f is to switch function and x roles:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3y%5E2%2B5 ALIGN=MIDDLE  ALT=\"x=-3y%5E2%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3y%5E2=x-5 ALIGN=MIDDLE  ALT=\"-3y%5E2=x-5\"   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=%28x-5%29%2F%28-3%29 ALIGN=MIDDLE  ALT=\"y%5E2=%28x-5%29%2F%28-3%29\"   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=-%28x-5%29%2F3 ALIGN=MIDDLE  ALT=\"y%5E2=-%28x-5%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0%2B-+sqrt%28-%28x-5%29%2F3%29 ALIGN=MIDDLE  ALT=\"y=0%2B-+sqrt%28-%28x-5%29%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the inverse of f.<BR>\n" );
document.write( "Each branch is a separate function; when both branches are put together, that is not a function.\r<BR>\n" );
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document.write( "f(x)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-3x%5E2%2B5%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-3x%5E2%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The negative branch of inverse of f<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-sqrt%28-%28x-5%29%2F3%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-sqrt%28-%28x-5%29%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The positive branch of inverse of f<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Csqrt%28-%28x-5%29%2F3%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Csqrt%28-%28x-5%29%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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