document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062663>Question 1062663</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This problem is giving me a hard time, please help!\r<BR>\n" );
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document.write( "The one-to-one functions g and h are defined as follows.\r<BR>\n" );
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document.write( "=g{(&#8722;7, 1), (1, -7), (5, 6), (7, 9)}<BR>\n" );
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document.write( "=h(x)=3x-14\r<BR>\n" );
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document.write( "Find:\r<BR>\n" );
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document.write( "g^-1(1)=<BR>\n" );
document.write( "h^-1(x)=<BR>\n" );
document.write( "(h^-1 º h)(7)=<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 #677627 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=677627\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The inverse of g uses the range of g as the domain so, using g, find the x value corresponding to the y value of 1, y=-7, so,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5E%28-1%29%281%29=-7 ALIGN=MIDDLE  ALT=\"g%5E%28-1%29%281%29=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To find the inverse of h, use x,y nomenclature,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3x-14 ALIGN=MIDDLE  ALT=\"y=3x-14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Interchange x and y and solve for y. <BR>\n" );
document.write( "This new y is the inverse.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3y-14 ALIGN=MIDDLE  ALT=\"x=3y-14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y=x%2B14 ALIGN=MIDDLE  ALT=\"3y=x%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x%2B14%29%2F3 ALIGN=MIDDLE  ALT=\"y=%28x%2B14%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E%28-1%29%28x%29=%28x%2B14%29%2F3 ALIGN=MIDDLE  ALT=\"h%5E%28-1%29%28x%29=%28x%2B14%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
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document.write( "The composition of a function and its inverse yields the original input.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E%28-1%29%28h%28x%29%29=x ALIGN=MIDDLE  ALT=\"h%5E%28-1%29%28h%28x%29%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E%28-1%29%28h%287%29%29=7 ALIGN=MIDDLE  ALT=\"h%5E%28-1%29%28h%287%29%29=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28%28x%2B14%29%2F3%29-14=%28x%2B14%29-14=x ALIGN=MIDDLE  ALT=\"3%28%28x%2B14%29%2F3%29-14=%28x%2B14%29-14=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );