document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127951>Question 1127951</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the inverse of f(x) = (x - 5)^2 for x &#8805; 5 where function g is the inverse of function f?\r<BR>\n" );
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document.write( "The equation and answer choices are in the link here: https://prnt.sc/le3ih1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744446 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=744446\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The response by the other tutor showed a general method for finding an inverse function: switch the x and y variables and solve for the new y.<br><BR>\n" );
document.write( "Here is different method which is much faster and much less work for many simple functions, including this one.<br><BR>\n" );
document.write( "This method is based on the idea that an inverse function \"gets you back where you started\".  For relatively simple functions, that just means doing the opposite operations in the opposite order.<br><BR>\n" );
document.write( "For the given function, the order of operations is<br><BR>\n" );
document.write( "(1) subtract 5; and<BR>\n" );
document.write( "(2) square<br><BR>\n" );
document.write( "The opposite operations, in the opposite order, are<br><BR>\n" );
document.write( "(1) take the square root; and<BR>\n" );
document.write( "(2) add 5<br><BR>\n" );
document.write( "So the inverse function is<br><BR>\n" );
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