document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147737>Question 147737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the inverse of the one-to-one function f(x)=(3sqrtx-6)\r<BR>\n" );
document.write( "\n" );
document.write( "a)f^1(x)=x^3+6<BR>\n" );
document.write( "b)f^1(x)=x+6<BR>\n" );
document.write( "c)f^1(x)=1/x^3+6<BR>\n" );
document.write( "d)f^1(x)=x^3+36 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108121 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=108121\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=root%283%2Cx-6%29 ALIGN=MIDDLE  ALT=\"y=root%283%2Cx-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=root%283%2Cy-6%29 ALIGN=MIDDLE  ALT=\"x=root%283%2Cy-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Switch x and y.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3=y-6 ALIGN=MIDDLE  ALT=\"x%5E3=y-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cube both sides.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%2B6=y ALIGN=MIDDLE  ALT=\"x%5E3%2B6=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 6 to both sides.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the inverse function is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f^{-1}\left(x\right\)=x^3+6\"> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );