document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182020>Question 182020</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine if the following pairs of functions are inverses of each other; you must show your work that proves your answer:\r<BR>\n" );
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document.write( "	a. f(x) = 4x     and     g(x) = 0.25x<BR>\n" );
document.write( "	b. f(x) = x – 4   and  g(x) = 2x + 4	<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136686 by </B><A HREF=/tutors/aboutme.mpl?userid=eperette><B>eperette(173)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=eperette><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=136686\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Concept you should know:<BR>\n" );
document.write( "F(x) and G(x) are inverses of each other if<BR>\n" );
document.write( "F(G(x))=G(F(x))=1x<BR>\n" );
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document.write( "a. f(x) = 4x     and     g(x) = 0.25x<BR>\n" );
document.write( "f(g(x))=f(0.25x)=4(0.25x)=x<BR>\n" );
document.write( "g(f(x))=g(4x)=0.25(4x)=x<BR>\n" );
document.write( "they are inverses of each other<BR>\n" );
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document.write( "b. f(x) = x – 4   and  g(x) = 2x + 4	<BR>\n" );
document.write( "f(g(x))=f(2x+4)= 2x + 4 -4 =2x<BR>\n" );
document.write( "g(f(x))=g(x-4) = 2(x-4) + 4 = 2x - 8 + 4 = 2x -4<BR>\n" );
document.write( "they are not inverses of each other\r<BR>\n" );
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