document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=447941>Question 447941</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose f(x) = 2^(x^2) - 5, for x >=0.\r<BR>\n" );
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document.write( "find f^-1, the inverse of f. Determine the domain of f^-1.\r<BR>\n" );
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document.write( "compute f^(-11). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #308305 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=308305\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%5E%28x%5E2%29-5 ALIGN=MIDDLE  ALT=\"y=2%5E%28x%5E2%29-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, solve this equation for x:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-5=2%5E%28x%5E2%29 ALIGN=MIDDLE  ALT=\"y-5=2%5E%28x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28y-5%29=x%5E2%2Aln2 ALIGN=MIDDLE  ALT=\"ln%28y-5%29=x%5E2%2Aln2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%28ln%28y-5%29%2Fln2%29 ALIGN=MIDDLE  ALT=\"x=sqrt%28ln%28y-5%29%2Fln2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, interchange x and y and get the \r<BR>\n" );
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document.write( "inverse function:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1%28x%29=sqrt%28ln%28x-5%29%2Fln2%29 ALIGN=MIDDLE  ALT=\"f%5E-1%28x%29=sqrt%28ln%28x-5%29%2Fln2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The domain of this function is:\r<BR>\n" );
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document.write( "(5, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >). The value x=-11 is not included in its domain for this value\r<BR>\n" );
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document.write( "the function <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 undefined. <BR>\n" );
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