document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=714512>Question 714512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the inverse of f(x)=5x+1/6. Then, use your knowledge of composite functions to show that they are indeed inverses of each other. Show work </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #438821 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=438821\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Find the inverse of f(x)=5x+1/6. Then, use your knowledge of composite functions to show that they are indeed inverses of each other. Show work<BR>\n" );
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document.write( "Inverse: g(x) = (x-(1/6))/5<BR>\n" );
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document.write( "Proof: <BR>\n" );
document.write( "f[g(x)] = f[(x-(1/6))/5] = 5[(x-(1/6))/5 + (1/6) = x-(1/6)+(1/6) = x<BR>\n" );
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document.write( "g[f(x)] = g[5x+(1/6)] = [5x+(1/6)-(1/6)]/5 = 5x/5 = x<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================= </SPAN>\n" );
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