document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1020076>Question 1020076</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a function is given: f(x) = 3x + 12 <BR>\n" );
document.write( "a. determine the inverse of this function and name it g(x) <BR>\n" );
document.write( "b. use composite functions to show that these functions are inverses <BR>\n" );
document.write( "c. evaluate f(g(-2)) explain what is the domain\r<BR>\n" );
document.write( "\n" );
document.write( "I think that I got A<BR>\n" );
document.write( "y = 3x + 12<BR>\n" );
document.write( "x = 3y + 12<BR>\n" );
document.write( "x-12 = 3y<BR>\n" );
document.write( "y= g(x) = (x-12) / 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #636019 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=636019\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a function is given: f(x) = 3x + 12 <BR>\n" );
document.write( "a. determine the inverse of this function and name it g(x)<BR>\n" );
document.write( "1st:: Interchange x and y to get x = 3y+12<BR>\n" );
document.write( "2nd: Solve for \"y\":: f^-1(x) = (x-12)/3<BR>\n" );
document.write( "----------------------------------------------- <BR>\n" );
document.write( "b. use composite functions to show that these functions are inverses<BR>\n" );
document.write( "---<BR>\n" );
document.write( "fof^-1(x) = f[(x-12)/3] = 3[(x-12)/3)]+ 12 = (x-12)=12 = x<BR>\n" );
document.write( "----<BR>\n" );
document.write( "f^-1of(x) = f^[f(x)] = f^-1[3x+12] = [(3x+12-12)/3] = (3x)/3 = x<BR>\n" );
document.write( "------------------------------------------------------ <BR>\n" );
document.write( "c. evaluate f(g(-2)) explain what is the domain<BR>\n" );
document.write( "f(g(-2)) = f((-2-12)/3) = f(-14/3) = 3(-14/3)+12 = -2<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------ <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );