document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252676>Question 252676</A>: <I><SPAN STYLE=\"word-break: break-all;\"> let f(x)=3x-6 and g(x)=x-2. find the g/f and state its domain. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184732 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=184732\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> WE have two functions:<BR>\n" );
document.write( "(i) f(x)=3x-6<BR>\n" );
document.write( "(ii)g(x)=x-2<BR>\n" );
document.write( "Now, F(x) / g(x) will be<BR>\n" );
document.write( "(iii) 3x-6 / (x-2)<BR>\n" );
document.write( "At this point we must look at domain. We have variables in the denominator. Set the denominator = 0 and solve for x.<BR>\n" );
document.write( "x-2 = 0 - - > x = 2 is the restriction on the domain.<BR>\n" );
document.write( "Back to the fraction . . .<BR>\n" );
document.write( "We can factor the numerator as 3(x-2). We get<BR>\n" );
document.write( "(iv) 3(x-2) / (x-2) = 3. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );