document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105778>Question 1105778</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me with For what domain are f(x) = x^2 and g(x)=&#8730;x  inverse functions? Make sure you use set builder notation.  <BR>\n" );
document.write( "Explain how you can tell that f(x) = x3 and g(x)= &#8731;x are inverse functions. Use complete sentences. <BR>\n" );
document.write( "Thank you so much!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720803 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=720803\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> set f(x) = y.\r<BR>\n" );
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document.write( "your normal function becomes y = x^2.\r<BR>\n" );
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document.write( "to derive the inverse function, set x equal to y and y equal to x.\r<BR>\n" );
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document.write( "example:\r<BR>\n" );
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document.write( "start with f(x) = x^2\r<BR>\n" );
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document.write( "let y = f(x).\r<BR>\n" );
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document.write( "your normal function becomes y = x^2.\r<BR>\n" );
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document.write( "replace y with x and x with y to get x = y^2.\r<BR>\n" );
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document.write( "solve for y to get y = plus or minus sqrt(x).\r<BR>\n" );
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document.write( "that's your inverse function.\r<BR>\n" );
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document.write( "let y = f^-1(x).\r<BR>\n" );
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document.write( "your inverse function becomes f^-1(x) = plus or minus sqrt(x).\r<BR>\n" );
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document.write( "f(x) = x^2 is your normal function.<BR>\n" );
document.write( "f^-1(x) = plus or minus sqrt(x) is your inverse function.\r<BR>\n" );
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document.write( "when you graph the function, you set y = f(x).<BR>\n" );
document.write( "this allows it to be graphed based on the usual rules of graphing software.\r<BR>\n" );
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document.write( "the graph of y = x^2 is shown below:\r<BR>\n" );
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document.write( "the graph of y = plus or minus sqrt(x) is shown below:\r<BR>\n" );
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document.write( "note that the graph of y = plus or minus sqrt(x) is really two equations.\r<BR>\n" );
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document.write( "the first equation is y = sqrt(x).<BR>\n" );
document.write( "the second equation is y = -sqrt(x).\r<BR>\n" );
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