Question 853990
Just substitute {{{ x + h }}} for {{{ x }}} in the 1st
function everywhere you see {{{ x }}}, then
do the required algebra
------------------------
given:
{{{ f(x) = 3x - 1 }}}
find:
{{{ ( f( x+h ) - f( h ) ) / h }}}
{{{ ( 3*( x+h ) - 1 - ( 3x - 1 ) ) / h }}}
{{{ ( 3x + 3h - 1 - 3x + 1 ) / h }}}
{{{ ( 3x )/h + 3 - 1/h - (3x )/h + 1/h }}}
{{{ (( 3x )/h - ( 3x )/h) + (1/h - 1/h) + 3 = 3 }}}