document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=211336>Question 211336</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given f(x+h)-f(x)/h where h is not zero.find and simplify the difference quotient for the following function f(-3x^2+9x+3)<BR>\n" );
document.write( "  \r<BR>\n" );
document.write( "\n" );
document.write( "2. find the difference quotient for the function f(x)=4x+3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "these are two different ouestions.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159688 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=159688\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. given f(x+h)-f(x)/h where h is not zero.find and simplify the difference quotient for the following function f(x) = (-3x^2+9x+3)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "The easiest way to do these is to write f(x+h) and f(x) on different lines:<BR>\n" );
document.write( "f(x+h) = -3(x+h)^2 + 9(x+h) + 3<BR>\n" );
document.write( "f(x+h) = -3x^2 - 6hx -3h^2 + 9x + 9h + 3<BR>\n" );
document.write( "f(x)   =  -3x^2 + 9x + 3<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Subtract:<BR>\n" );
document.write( "f(x+h)-f(x) = -6hx -3h^2 + 9h<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Divide by h to get the answer:<BR>\n" );
document.write( "[f(x+h)-f(x)]/h = -6x -3h + 9<BR>\n" );
document.write( "========================================<BR>\n" );
document.write( "I'll leave the 2nd problem to you.<BR>\n" );
document.write( "========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2. find the difference quotient for the function f(x)=4x+3 <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );