document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=754076>Question 754076</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If f is a function defined by the equation f(x) = x^2 + 3x + 4<BR>\n" );
document.write( "a) find f(a+h) - f(a) / h when a and h are real numbers and h is not equal to 0\r<BR>\n" );
document.write( "\n" );
document.write( "Can you please help me out? Thanks so much in advance:)<BR>\n" );
document.write( "Can you also please show me the steps it would help me understand better:) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #458771 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=458771\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If f is a function defined by the equation f(x) = x^2 + 3x + 4<BR>\n" );
document.write( "a) find f(a+h) - f(a) / h <BR>\n" );
document.write( "----<BR>\n" );
document.write( "f(a+h) = (a+h)^2 + 3(a+h) + 4<BR>\n" );
document.write( "----<BR>\n" );
document.write( "f(a+h) = a^2 + 2ha + h^2 + 3a + 3h + 4<BR>\n" );
document.write( "----<BR>\n" );
document.write( "f(a+h) = a^2 +3a + 4 + 2ha + h^2 + 3h<BR>\n" );
document.write( "f(a) = a^2 + 3a + 4<BR>\n" );
document.write( "------<BR>\n" );
document.write( "So: f(a+h)-f(a) = h^2 + 2ha + 3h<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Then, dividing by \"h\" you get:<BR>\n" );
document.write( "[f(a+h)-f(a)]/h = h + 2a + 3<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );