document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=685001>Question 685001</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the function f(x)=3x-6 and g(x)=x/3+2. A) Find f(g(x)). B) Find g(f(x)). C) Determine whether the functions f and g inverse of each other. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #424292 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=424292\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(g(x)) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%2F3%2B2%29-6 ALIGN=MIDDLE  ALT=\"3%28x%2F3%2B2%29-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%2F3%29+%2B+3%282%29+-+6 ALIGN=MIDDLE  ALT=\"3%28x%2F3%29+%2B+3%282%29+-+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f(g(x))= x<BR>\n" );
document.write( "...<BR>\n" );
document.write( "...<BR>\n" );
document.write( "g(f(x)) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x-6%29%2F3+%2B+2 ALIGN=MIDDLE  ALT=\"%283x-6%29%2F3+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2F3+-+6%2F3+%2B+2 ALIGN=MIDDLE  ALT=\"3x%2F3+-+6%2F3+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "g(f(x)) = x<BR>\n" );
document.write( "...<BR>\n" );
document.write( "...<BR>\n" );
document.write( "f(x) = 3x - 6<BR>\n" );
document.write( "y = 3x - 6<BR>\n" );
document.write( "y + 6 = 3x<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B6%29%2F3 ALIGN=MIDDLE  ALT=\"%28y%2B6%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=f%5E-1%28x%29+=+x%2F3+%2B+2 ALIGN=MIDDLE  ALT=\"f%5E-1%28x%29+=+x%2F3+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so g(x)  is an inverse function of f(x)<BR>\n" );
document.write( "and<BR>\n" );
document.write( "g(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3+%2B+2 ALIGN=MIDDLE  ALT=\"x%2F3+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3+%2B+2 ALIGN=MIDDLE  ALT=\"x%2F3+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y - 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3 ALIGN=MIDDLE  ALT=\"x%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 3(y-2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5E-1%28x%29+=+3x+-+6%29 ALIGN=MIDDLE  ALT=\"g%5E-1%28x%29+=+3x+-+6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so f(x) is an inverse function of g(x)<BR>\n" );
document.write( ".....................<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );