document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930023>Question 930023</A>: <I><SPAN STYLE=\"word-break: break-all;\"> inverse of f(x)= cubic root of x+4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #564674 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrapro18><B>algebrapro18(249)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrapro18><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=564674\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Notes: <BR>\n" );
document.write( "1)The cube root of a number is the same as taking the number to the 1/3 power.<BR>\n" );
document.write( "2) f(x) and y are the same thing.<BR>\n" );
document.write( "3) Cube root and cube are inverse functions of eachother.<br>\r<BR>\n" );
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document.write( "To find the inverse of a function you swap the x and y and solve for y.<BR>\n" );
document.write( "So doing so we get:<br>\r<BR>\n" );
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document.write( "y = (x+4)^1/3 by my notes above<BR>\n" );
document.write( "x = (y+4)^1/3 Cube both sides<BR>\n" );
document.write( "x^3 = y+4 Subtract 4 from both sides <BR>\n" );
document.write( "x^3-4 = y<br>\r<BR>\n" );
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document.write( "So the inverse function of f(x) is f^(-1)(x) = x^3-4. </SPAN>\n" );
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