document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61882>Question 61882</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the defination of inverse function to show analytically that f and g are inverse:\r<BR>\n" );
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document.write( "f(x) = 4x+3 and g(x)= x-3/4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42614 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=42614\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the defination of inverse function to show analytically that f and g are inverse:<BR>\n" );
document.write( "In order to be inverses, their composites have to equal x.<BR>\n" );
document.write( "f(x) = 4x+3 and g(x)= (x-3)/4<BR>\n" );
document.write( "(fog)(x)=f(g(x))=f((x-3)/4)=4((x-3)/4)+3=x-3+3=x<BR>\n" );
document.write( "(gof)(x)=g(f(x))=g(4x+3)=((4x+3)-3)/4=4x/4=x<BR>\n" );
document.write( "They are inverses of each other.<BR>\n" );
document.write( "Happy Calculating!!!! </SPAN>\n" );
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