document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=968779>Question 968779</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a symbolic representation for f^-1(x) show work?<BR>\n" );
document.write( "F(x)=2x^2-3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #591941 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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/cgi-bin/show-face.mpl?user=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=591941\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> we are looking for the inverse of the function<BR>\n" );
document.write( "F(x) = 2x^2 -3<BR>\n" );
document.write( "rewrite with F(x) as y<BR>\n" );
document.write( "y = 2x^2 -3<BR>\n" );
document.write( "solve for x<BR>\n" );
document.write( "add 3 to both sides of =<BR>\n" );
document.write( "y +3 = 2x^2<BR>\n" );
document.write( "divide both sides of = by 2<BR>\n" );
document.write( "x^2 = (y+3) / 2<BR>\n" );
document.write( "x = square root( (y+3) / 2 )<BR>\n" );
document.write( "now interchange the x's and y's<BR>\n" );
document.write( "y = square root( (x+3) / 2 )<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "f^-1(x) = square root( (x+3) / 2 )<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );