document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190910>Question 1190910</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the function f(x)=8-x^3, x>_0 (line goes under >)<BR>\n" );
document.write( "a) Sketch the graph of f (use a solid line, label f(x)<BR>\n" );
document.write( "b) Use the graph of f above and sketch the graph of f^-1 on the same axis as in part a) of this problem (use a dashed line, label the inverse). How did you find the points to sketch the inverse function?<BR>\n" );
document.write( "c) Find f^-1(x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #822644 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=822644\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=8-x^3<BR>\n" );
document.write( "inverse<BR>\n" );
document.write( "x=8-y^3<BR>\n" );
document.write( "y^3=8-x<BR>\n" );
document.write( "y=(8-x)^(1/3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C0%2C10%2C-10%2C10%2C8-x%5E3%2C%288-x%29%5E%281%2F3%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C0%2C10%2C-10%2C10%2C8-x%5E3%2C%288-x%29%5E%281%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To find the points for the inverse, (8, 0) is one, and (0, 2) is the other.  The two are equal when <BR>\n" );
document.write( "8-x^3=(8-x)^(1/3)<BR>\n" );
document.write( "One way is to graph both and find where they intersect, which is at x=1.834.<BR>\n" );
document.write( "One can put in points for x and take the cube root.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );