document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204759>Question 204759</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether the function has an inverse function and if so, find the inverse function f(x)=x^3+8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154525 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=154525\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine whether the function has an inverse function and if so, find the inverse function f(x)=x^3+8<BR>\n" );
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document.write( "Interchange x and y to get:<BR>\n" );
document.write( "x = y^3+8<BR>\n" );
document.write( "Solve for \"y\":<BR>\n" );
document.write( "y^3 = x-8<BR>\n" );
document.write( "y = (x-8)^(1/3)<BR>\n" );
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document.write( "Yes, the inverse exists and it is a function.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );