document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=112746>Question 112746</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If f(x)=square root of x-1 find f-1(x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82189 by </B><A HREF=/tutors/aboutme.mpl?userid=mathnard><B>mathnard(10)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathnard><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=82189\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is an inverse functions problem.  f(x) is read f of x, not f times x and is just a fancy way of saying y.  so really what they are saying is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=sqrt%28x-1%29 ALIGN=MIDDLE  ALT=\"y=sqrt%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To find an inverse, which is what <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E%28-1%29 ALIGN=MIDDLE  ALT=\"f%5E%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > means, you switch the x and y and then solve for the new 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-1%29 ALIGN=MIDDLE  ALT=\"x=sqrt%28y-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "square both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29%5E2=%28sqrt%28y-1%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%29%5E2=%28sqrt%28y-1%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=y-1 ALIGN=MIDDLE  ALT=\"x%5E2=y-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "add 1 to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B1=y ALIGN=MIDDLE  ALT=\"x%5E2%2B1=y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This means that the inverse function is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1%28x%29=x%5E2%2B1 ALIGN=MIDDLE  ALT=\"f%5E-1%28x%29=x%5E2%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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