document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=229892>Question 229892</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the inverse of f(x)= 1/3x^3+1 is it one-to-one, why or why not? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170345 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=170345\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the inverse of f(x)= (1/3)x^3+1 is it one-to-one, why or why not?<BR>\n" );
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document.write( "Inverse:<BR>\n" );
document.write( "Interchange x and y to get:<BR>\n" );
document.write( "x = (1/3)y^3 + 1<BR>\n" );
document.write( "(1/3)y^3 = x-1<BR>\n" );
document.write( "y^3 = 3(x-1)<BR>\n" );
document.write( "y = [3x-3]^(1/3)<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "One-to-One?<BR>\n" );
document.write( "Graph to see:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-20%2C20%2C-4%2C4%2C%281%2F3%29x%5E3+%2B+1%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-20%2C20%2C-4%2C4%2C%281%2F3%29x%5E3+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "f passes the vertical line test and the horizontal line test<BR>\n" );
document.write( "so it is one-to-one<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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