document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=288687>Question 288687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Confirm that the function f(x) = 3x + 2, and g(x) = (x-2)/(3) are inverses.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #209228 by </B><A HREF=/tutors/aboutme.mpl?userid=texttutoring><B>texttutoring(324)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=texttutoring><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=texttutoring><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=209228\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find the inverse of a function, you simply swap its x and y values, and then solve for y.\r<BR>\n" );
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document.write( "Let's find the inverse of f(x)=3x+2. First, rewrite it as y=3x+2\r<BR>\n" );
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document.write( "Now swap:\r<BR>\n" );
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document.write( "x=3y+2\r<BR>\n" );
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document.write( "Now solve for y:\r<BR>\n" );
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document.write( "x-2=3y<BR>\n" );
document.write( "y=(x-2)/3\r<BR>\n" );
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document.write( "This is equal to g(x), so yes, g(x) is the inverse of f(x). </SPAN>\n" );
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