document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186433>Question 186433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the inverse of each function. Is the inverse a function?\r<BR>\n" );
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document.write( "f(x)=(x+2)^2-4\r<BR>\n" );
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document.write( "f(x)=4x^3-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139866 by </B><A HREF=/tutors/aboutme.mpl?userid=feliz1965><B>feliz1965(151)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=feliz1965><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=139866\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I will do one and you can do the other.\r<BR>\n" );
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document.write( "Find the inverse of f(x)= 4x^3-1.\r<BR>\n" );
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document.write( "First, let f(x) = y.\r<BR>\n" );
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document.write( "y = 4x^3 - 1\r<BR>\n" );
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document.write( "Now switch places with x and y.\r<BR>\n" );
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document.write( "x = 4y^3 - 1\r<BR>\n" );
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document.write( "Next, solve for y.\r<BR>\n" );
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document.write( "x + 1 = 4y^3\r<BR>\n" );
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document.write( "(x + 1)/4 = y^3\r<BR>\n" );
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document.write( "Taking the cube root of each side we get:\r<BR>\n" );
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document.write( "cuberoot{(x + 1)/4)} = y\r<BR>\n" );
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document.write( "We now replace y with the inverse function notation f^(-1)x.\r<BR>\n" );
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document.write( "f^(-1)x = cuberoot{(x + 1)/4)} and it is a function.\r<BR>\n" );
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