document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=443494>Question 443494</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the inverse of y=6x^2-4<BR>\n" );
document.write( "is the inverse a function? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #306200 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=306200\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the inverse of y=6x^2-4<BR>\n" );
document.write( "is the inverse a function?<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y=6x^2-4 (original function)<BR>\n" );
document.write( "To find the inverse, interchange x and y and solve for y<BR>\n" );
document.write( "x=6y^2-4<BR>\n" );
document.write( "x+4=6y^2<BR>\n" );
document.write( "y^2=(x+4)/6<BR>\n" );
document.write( "y=+-sqrt((x+4)/6) (inverse function)<BR>\n" );
document.write( "y=+-((x+4)/6)^.5<BR>\n" );
document.write( "see the graph of the original function and its inverse below:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C10%2C+-10%2C+10%2C+6x%5E2-4%2C%28%28x%2B4%29%2F6%29%5E.5%2C-%28%28x%2B4%29%2F6%29%5E.5%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "The green and blue curves make up the inverse function. As you can see, it is not a function because for each x in the domain, there are two y's. In a function, each x can have only one y-value.  Also note that the range and domain of the original function become the domain and range of the inverse. That, is they interchange. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );