document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1104762>Question 1104762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the inverse function of y=f(x)=7 x-5.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #719456 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=719456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The other tutor showed you the formal algebraic method for finding the inverse: switch the x and y and solve for the new y.<br><BR>\n" );
document.write( "Here is an alternative method that can often be used to find the inverse of relatively simple functions.  In cases where it can be used, it is usually a lot less work and therefore much faster than the algebraic method.<br><BR>\n" );
document.write( "This method is based on the concept that the inverse function \"undoes\" what the function does.<br><BR>\n" );
document.write( "What does the given function do to the input value?  It<BR>\n" );
document.write( "(1) multiplies it by 7  and then<BR>\n" );
document.write( "(2) subtracts 5<br><BR>\n" );
document.write( "To undo that, the inverse function has to do the opposite operations, in the reverse order.  So what the inverse function has to do to its input is<BR>\n" );
document.write( "(1) add 5  and then<BR>\n" );
document.write( "(2) divide by 7<br><BR>\n" );
document.write( "So the inverse function is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28x%2B5%29%2F7 ALIGN=MIDDLE  ALT=\"y+=+%28x%2B5%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%2F7%2B5%2F7 ALIGN=MIDDLE  ALT=\"y+=+x%2F7%2B5%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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