document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163985>Question 163985</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm having a little trouble solving this one.<BR>\n" );
document.write( "Given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-sqrt%28x%2B2%29%2B3 ALIGN=MIDDLE  ALT=\"f%28x%29=-sqrt%28x%2B2%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Determine the domain of the inverse <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1%28x%29 ALIGN=MIDDLE  ALT=\"f%5E-1%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >I am getting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2%2B6x-11 ALIGN=MIDDLE  ALT=\"-x%5E2%2B6x-11\"   DISABLED_style= \"max-width:90%; height:auto;\" > as the inverse. So the range would be <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( "Am I on the right track here?<BR>\n" );
document.write( "Thanks for you help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120828 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=120828\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-sqrt%28x%2B2%29%2B3 ALIGN=MIDDLE  ALT=\"f%28x%29=-sqrt%28x%2B2%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given function\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-sqrt%28x%2B2%29%2B3 ALIGN=MIDDLE  ALT=\"y=-sqrt%28x%2B2%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace f(x) with y\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-sqrt%28y%2B2%29%2B3 ALIGN=MIDDLE  ALT=\"x=-sqrt%28y%2B2%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Switch x and y\r<BR>\n" );
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document.write( "The goal is now to solve for y:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3=-sqrt%28y%2B2%29 ALIGN=MIDDLE  ALT=\"x-3=-sqrt%28y%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 3 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2=y%2B2 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2=y%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-6x%2B9=y%2B2 ALIGN=MIDDLE  ALT=\"x%5E2-6x%2B9=y%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL the left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-6x%2B7=y%2B2 ALIGN=MIDDLE  ALT=\"x%5E2-6x%2B7=y%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL the left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-6x%2B7=y ALIGN=MIDDLE  ALT=\"x%5E2-6x%2B7=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2-6x%2B7 ALIGN=MIDDLE  ALT=\"y=x%5E2-6x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that the inverse function is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1%28x%29=x%5E2-6x%2B7 ALIGN=MIDDLE  ALT=\"f%5E-1%28x%29=x%5E2-6x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" > where the domain of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1%28x%29 ALIGN=MIDDLE  ALT=\"f%5E-1%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C=3 ALIGN=MIDDLE  ALT=\"x%3C=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the range is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E=-2 ALIGN=MIDDLE  ALT=\"y%3E=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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