document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=380579>Question 380579</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Good morning!  \r<BR>\n" );
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document.write( "I have to find the inverse of the function:  f(x)= 4x+1/3.  \r<BR>\n" );
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document.write( "Thanks so much for all your help!\r<BR>\n" );
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document.write( "Denise  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #270164 by </B><A HREF=/tutors/aboutme.mpl?userid=Jk22><B>Jk22(389)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Jk22><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=Jk22><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=270164\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let write the inverse g(x)=f^(-1)(x), then we should have : \r<BR>\n" );
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document.write( "f(g(x)) = x = 4g(x)+1/3 => g(x) = (x-1/3)/4<BR>\n" );
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document.write( "we can see that g(f(x)) = (f(x)-1/3)/4 = (4x+1/3-1/3)/4 = x<BR>\n" );
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document.write( "Note : the functional inverse is not the inverse in the real numbers, which were denoted f(x)^(-1) = 1/(4x+1/3) </SPAN>\n" );
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