document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=51260>Question 51260</A>: <I><SPAN STYLE=\"word-break: break-all;\"> State the domain and range of f^-1 (x), given<BR>\n" );
document.write( "f(x)=(x-1)^2 +2 ** Please note their should be brackets around x-1 part** I'm not sure if the brackets will show up for you.\r<BR>\n" );
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document.write( "This is what I have tried so far.  I tried to find the inverse I am not sure if i am right.\r<BR>\n" );
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document.write( "f(x)= (x-1)^2+2<BR>\n" );
document.write( "y=(x-1)^2+2<BR>\n" );
document.write( "(y-1)^2=x-2<BR>\n" );
document.write( "y-1= +/- Square root x-2<BR>\n" );
document.write( "y= +/- square root x-2+1<BR>\n" );
document.write( "f^-1 (x) = +/- square root x-2+1<BR>\n" );
document.write( "Now I think I have to find the domain and range of this f^-1 (x) = +/- square root x-2+1.  I am not sure how to do this.  Can you please check my work and see if it is ok so far and help me find the domain and range and if I have made a mistake can you help me correct it. Thank-you so much.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #34208 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=34208\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = (x - 1)^2 + 2<BR>\n" );
document.write( "y = (x - 1)^2 + 2<BR>\n" );
document.write( "x = (y - 1)^2 + 2<BR>\n" );
document.write( "x - 2 = (y - 1)^2<BR>\n" );
document.write( "+-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x+-+2%29 ALIGN=MIDDLE  ALT=\"sqrt%28x+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = y - 1<BR>\n" );
document.write( "+-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x+-+2%29 ALIGN=MIDDLE  ALT=\"sqrt%28x+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 1 = y<BR>\n" );
document.write( "Domain: {x|<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=2 ALIGN=MIDDLE  ALT=\"x%3E=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >}<BR>\n" );
document.write( "Range: {y|all reals}<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-10%2C10%2Cx%2C%28x-1%29%5E2%2B2%2Csqrt%28x-2%29%2B1%2C-sqrt%28x-2%29%2B1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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