document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67253>Question 67253</A>: <I><SPAN STYLE=\"word-break: break-all;\"> These functions are inverse functions\r<BR>\n" );
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document.write( "f(x) = 2x - 1\r<BR>\n" );
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document.write( "g(x) = (1/2)x + 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47818 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=47818\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Are these functions inverse functions ?<BR>\n" );
document.write( "f(x) = 2x - 1 <BR>\n" );
document.write( "g(x) = (1/2)x + 1<BR>\n" );
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document.write( "f[g(x)]=f[(1/2)x+1]=2[(1/2)x+1]=x+2<BR>\n" );
document.write( "This shows f and g are not inverse to one another.<BR>\n" );
document.write( "If the result had been \"x\" instead of \"x+2\" I would<BR>\n" );
document.write( "have checked g[f(x)] to see if that result was also \"x\".<BR>\n" );
document.write( "Hope this helps.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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