document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119198>Question 1119198</A>: <I><SPAN STYLE=\"word-break: break-all;\">      x –1,1,2<BR>\n" );
document.write( "     f(x) 729,9,1<BR>\n" );
document.write( "Q65 The table above shows some values for the function f(x). If f(x) = g(3^-kx)for some constants g and k, what is the value of g?<BR>\n" );
document.write( "A) 1<BR>\n" );
document.write( "B) 9<BR>\n" );
document.write( "C) 81<BR>\n" );
document.write( "D) 729<BR>\n" );
document.write( "Q66 Which of the following is equivalent to 6x<BR>\n" );
document.write( "2 <BR>\n" );
document.write( "+ 5x – 6? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #734663 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=734663\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Q65...<br><BR>\n" );
document.write( "When x increases by 1 (from 1 to 2) the value of f(x) decreases by a factor of 3^2 = 9; i.e., it gets multiplied by a factor of 3^-2.  That means k=2.<br><BR>\n" );
document.write( "Then for x=1 we have<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%2A%283%5E-2%29+=+9 ALIGN=MIDDLE  ALT=\"g%2A%283%5E-2%29+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%2F9+=+9 ALIGN=MIDDLE  ALT=\"g%2F9+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g+=+81 ALIGN=MIDDLE  ALT=\"g+=+81\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The function is<br><BR>\n" );
document.write( "f(x) = 81(3^(-2x))<br><BR>\n" );
document.write( "Q66...<br><BR>\n" );
document.write( "Your statement of the question is not clear.... </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );