document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200359>Question 1200359</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The one-to-one functions g and h are defined as follows.\r<BR>\n" );
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document.write( "g={(-9,8),(-4,2),(2,1),(4,-5)}\r<BR>\n" );
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document.write( "h(x)=x+13/11\r<BR>\n" );
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document.write( "Find the following.\r<BR>\n" );
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document.write( "g^-1(2)=\r<BR>\n" );
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document.write( "h^-1(x)=\r<BR>\n" );
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document.write( "(h^-1 o h)(-2)= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #834474 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52798)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=834474\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "The one-to-one functions g and h are defined as follows.\r<BR>\n" );
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document.write( "g={(-9,8),(-4,2),(2,1),(4,-5)}\r<BR>\n" );
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document.write( "h(x)=x+13/11\r<BR>\n" );
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document.write( "Find the following.\r<BR>\n" );
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document.write( "(a) g^-1(2)=\r<BR>\n" );
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document.write( "(b) h^-1(x)=\r<BR>\n" );
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document.write( "(c) (h^-1 o h)(-2)=<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "(a)  To answer this question (a), you should understand how the inverse function works \r\n" );
document.write( "     and what they want from you.\r\n" );
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document.write( "     You are given this function \"g\" as a sequence of pairs.\r\n" );
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document.write( "     In each pair, the first  number is the input,  or the argument;\r\n" );
document.write( "                   the second number is the output, or the value of the function.\r\n" );
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document.write( "     When they ask you to find g^-1(2), it means for you:\r\n" );
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document.write( "          - find a pair with \"2\" in the second position\r\n" );
document.write( "                   (this pair is unique: it is (-4,2) );\r\n" );
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document.write( "          - and return the number in the FIRST position of this pair.\r\n" );
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document.write( "     So, the answer to question (a) is -4,  which is in the first position of this pair.\r\n" );
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document.write( "Part (a) is complete.\r<BR>\n" );
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document.write( "If you do understand this my explanation (which is VERY clear), then do not post similar questions in the future.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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