document.write( "Question 655272: Find the difference quotient
\n" ); document.write( "F(x)= 5x - x^2
\n" ); document.write( "F(5 +h) - f(5) \n" ); document.write( "
Algebra.Com's Answer #409021 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
Find the difference quotient
\n" ); document.write( "F(x)= 5x - x^2
\n" ); document.write( "F(5 +h) - f(5)
\n" ); document.write( ".
\n" ); document.write( "First, find F(5+h):
\n" ); document.write( "F(5+h) = 5(5+h) - (5+h)^2
\n" ); document.write( "F(5+h) = 25+5h - (5+h)(5+h)
\n" ); document.write( "F(5+h) = 25+5h - (25+10h+h^2)
\n" ); document.write( "F(5+h) = 25+5h -25-10h-h^2
\n" ); document.write( "F(5+h) = 5h-10h-h^2
\n" ); document.write( "F(5+h) = -5h-h^2
\n" ); document.write( "F(5+h) = -h^2-5h
\n" ); document.write( ".
\n" ); document.write( "Find, F(5):
\n" ); document.write( "F(5)= 5(5) - (5)^2
\n" ); document.write( "F(5)= 25 - 25
\n" ); document.write( "F(5)= 0
\n" ); document.write( ".
\n" ); document.write( "So,
\n" ); document.write( "F(5 +h) - f(5) = -h^2-5h-0
\n" ); document.write( "F(5 +h) - f(5) = -h^2-5h\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );