document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328864>Question 328864</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a symbolic representation for q^-1(x)<BR>\n" );
document.write( "identify the domain and rage of q^-1(x)\r<BR>\n" );
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document.write( "q(x)=(x-2)^2, x>_ 2\r<BR>\n" );
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document.write( "Either I was out to lunch for this one or I am making it way to hard... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235629 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=235629\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Step 1: Note the domain, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \{x\,|\,x\,\in\,\mathbb{R},\,x\,\geq\,2\}\">, the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\,\geq\,2\"> being specified as part of the function definition, and the range <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \{q(x)\,|\,q(x)\,\in\,\mathbb{R},\,q(x)\,\geq\,0\}\">\r<BR>\n" );
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document.write( "Step 2: Replace <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large q(x)\"> with <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ (x\ -\ 2)^2\">\r<BR>\n" );
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document.write( "Step 3: Solve for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\"> in terms of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ -\ 2\ =\ \sqrt{y}\">\r<BR>\n" );
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document.write( "Only the positive square root because of the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\ \geq\ 2\"> restriction.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ \sqrt{y}\ +\ 2\">\r<BR>\n" );
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document.write( "Step 4: Swap variables and replace <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\"> with <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large q^{-1}(x)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ q^{-1}(x)\ =\ \sqrt{x}\ +\ 2\">\r<BR>\n" );
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document.write( "The domain of the inverse is the range of the original function.  The range of the inverse is the domain of the original function.\r<BR>\n" );
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document.write( "Domain: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \{x\,|\,x\,\in\,\mathbb{R},\,x\,\geq\,0\}\">\r<BR>\n" );
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document.write( "Range: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \{q^{-1}(x)\,|\,q^{-1}(x)\,\in\,\mathbb{R},\,q^{-1}(x)\,\geq\,2\}\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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