document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1075999>Question 1075999</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the inverse of each of the following functions.State the domain of the inverse function:\r<BR>\n" );
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document.write( "a) f:[-1,4]-R,f(x) 10-9x\r<BR>\n" );
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document.write( "I got f(x)= -(x-10)/9\r<BR>\n" );
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document.write( "b) f: (-6,infinity)-R, f(x)=(x+7)^2 \r<BR>\n" );
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document.write( "I only got as far as (6+7)^2= 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 #690733 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=690733\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve (b), first solve for x in terms of y, or f(x):<BR>\n" );
document.write( "y = (x+7)^2 -> x+7 = sqrt(y) -> x = sqrt(y)-7<BR>\n" );
document.write( "Now swap x and y:<BR>\n" );
document.write( "y = f^-1(x) = sqrt(x) - 7<BR>\n" );
document.write( "We see from the graph that the original function and its inverse are <BR>\n" );
document.write( "symmetric about the line y=x, as they must be.<BR>\n" );
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