document.write( "Question 50737This question is from textbook college algebra: An early functions approach
\n" );
document.write( ": Help! PAGE 131 #19\r\n" );
document.write( "Find and simplify the difference quotient:\r\n" );
document.write( "\r\n" );
document.write( " f(x + h) - f(x)\r\n" );
document.write( "-----------------, h does not = 0\r\n" );
document.write( " h\r\n" );
document.write( " \r\n" );
document.write( "for the given formula:\r\n" );
document.write( "\r\n" );
document.write( "f(x) = 1/x
\n" );
document.write( "
Algebra.Com's Answer #33783 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! Help! PAGE 131 #19\r\n" ); document.write( "Find and simplify the difference quotient:\r\n" ); document.write( "\r\n" ); document.write( " f(x + h) - f(x)\r\n" ); document.write( "-----------------, h does not = 0\r\n" ); document.write( " h\r\n" ); document.write( " \r\n" ); document.write( "for the given formula:\r\n" ); document.write( "\r\n" ); document.write( " 1\r\n" ); document.write( "f(x) = ---\r\n" ); document.write( " x \r\n" ); document.write( " 1\r\n" ); document.write( "f(x + h) = -------\r\n" ); document.write( " x + h\r\n" ); document.write( " 1 1 x - (x + h) x - x - h \r\n" ); document.write( "f(x + h) - f(x) = ------- - --- = -------------- = ----------- = \r\n" ); document.write( " x + h x x(x + h) x(x + h) \r\n" ); document.write( "\r\n" ); document.write( " -h\r\n" ); document.write( " ------------\r\n" ); document.write( " x(x + h) \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now divide that by h\r\n" ); document.write( "\r\n" ); document.write( " f(x + h) - f(x) -h h -h 1\r\n" ); document.write( "----------------- = ------------ ÷ --- = ------------ × --- = \r\n" ); document.write( " h x(x + h) 1 x(x + h) h\r\n" ); document.write( "\r\n" ); document.write( " 1\r\n" ); document.write( " - \n" ); document.write( " \n" ); document.write( " |