document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1165630>Question 1165630</A>: <I><SPAN STYLE=\"word-break: break-all;\"> g={(-4,-9),(-2,8),(4,5),(8,4)}\r<BR>\n" );
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document.write( "h(x)=2x-13\r<BR>\n" );
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document.write( "Find the following<BR>\n" );
document.write( "g^-1(8)=<BR>\n" );
document.write( "h^-1(x)=<BR>\n" );
document.write( "(h∘h^-1)(-5)= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #852967 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3828)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=852967\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "I'll focus on the second question only.\r<BR>\n" );
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document.write( "Let's say that j(x) is the inverse of h(x).\r<BR>\n" );
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document.write( "If h and j were inverses of each other, then these two equations must be true:<BR>\n" );
document.write( "h( j(x) ) = x<BR>\n" );
document.write( "j( h(x) ) = x\r<BR>\n" );
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document.write( "Let's use the first equation to say the following:<BR>\n" );
document.write( "h(x) = 2x-13<BR>\n" );
document.write( "h( j(x) ) = 2*j(x)-13 .... replace every x with j(x)<BR>\n" );
document.write( "x = 2*j(x)-13<BR>\n" );
document.write( "x+13 = 2*j(x)<BR>\n" );
document.write( "j(x) = <font color=red>(x+13)/2 is the inverse of h(x)</font><BR>\n" );
document.write( "</font> </SPAN>\n" );
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