document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=160174>Question 160174</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can someone please help me with this question;\r<BR>\n" );
document.write( "\n" );
document.write( "Find and simplify the difference quotient f(x+h)-f(x) / h , h =(with slash through the = sign) 0 for the given function.\r<BR>\n" );
document.write( "\n" );
document.write( "f(x) = 3x - 9\r<BR>\n" );
document.write( "\n" );
document.write( "a. 3 + 6(x-9)/h<BR>\n" );
document.write( "b. 0<BR>\n" );
document.write( "c. 3<BR>\n" );
document.write( "d. 3 + -18/h </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #118163 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=118163\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i would say the answer is 3.<BR>\n" );
document.write( "here's why<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "f(x) = 3*x-9<BR>\n" );
document.write( "if you want to find f(x+h) you simply replace all instances of x with x+h, so<BR>\n" );
document.write( "f(x+h) = 3*(x+h)-9<BR>\n" );
document.write( "your problem is to find and simplify the difference quotient (f(x+h) - f(x))/h<BR>\n" );
document.write( "substituting 3*x-9 for f(x), and 3*(x+h)-9 for f(x+h), your difference quotient becomes (3*(x+h)-9 - (3*x-9))/h<BR>\n" );
document.write( "multiplying out, this becomes (3*x + 3*h - 9 - (3*x - 9))/h<BR>\n" );
document.write( "removing parentheses from (3*x - 9), this becomes<BR>\n" );
document.write( "(3*x + 3*h - 9 - 3*x + 9)/h<BR>\n" );
document.write( "you have to keep in mind the signs.<BR>\n" );
document.write( "minus a plus is a minus.<BR>\n" );
document.write( "minus a minus is a plus.<BR>\n" );
document.write( "doing the additions and subtractions of like values, the equation becomes<BR>\n" );
document.write( "3*h / h because +3*x and -3*x cancel out and +9 and -9 also cancel out.<BR>\n" );
document.write( "dividing by h, the equation becomes 3*1 = 3.<BR>\n" );
document.write( "the answer is 3 which would be c in your list of choices.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );