document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=921397>Question 921397</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi there, I've been trying and trying this problem with no luck.  Could you help me out with this, please?\r<BR>\n" );
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document.write( "Given the function y=(x-11)^2, where x is less than or equal to 11, find the inverse and its domain. \r<BR>\n" );
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document.write( "I keep getting y=plus or minus sqrt(x)-1 which is incorrect. <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 #558954 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=558954\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Domain of given y is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C=11 ALIGN=MIDDLE  ALT=\"x%3C=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > and range is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E=0 ALIGN=MIDDLE  ALT=\"y%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The inverse h(x) of this y has domain <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=0 ALIGN=MIDDLE  ALT=\"x%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and range <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29%3C=11 ALIGN=MIDDLE  ALT=\"h%28x%29%3C=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "FINDING THE INVERSE, h(x):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28h%28x%29-11%29%5E2 ALIGN=MIDDLE  ALT=\"x=%28h%28x%29-11%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, vertical and horizontal components change places.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29-11=0%2B-+sqrt%28x%29 ALIGN=MIDDLE  ALT=\"h%28x%29-11=0%2B-+sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28h%28x%29=11%2B-+sqrt%28x%29%29 ALIGN=MIDDLE  ALT=\"highlight%28h%28x%29=11%2B-+sqrt%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---And again, be reminded of the domain and the range.  You need to use the MINUS square root form and reject the other branch.   </SPAN>\n" );
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