Question 1203551
Find and simplify each of the following for {{{f(x) = 5x -2}}}


a) {{{ f(x + h)}}}


{{{ f(x + h)= 5(x + h) - 2}}}

{{{ f(x + h)= 5x + 5h - 2}}}



b) {{{ f(x + h) - f(x)}}}


{{{ f(x + h) - f(x)=5x + 5h - 2-( 5x - 2)}}}

{{{ f(x + h) - f(x)=5x + 5h - 2-5x +2}}}

{{{ f(x + h) - f(x)=cross(5x) + 5h - cross(2)-cross(5x) +cross(2)}}}

{{{ f(x + h) - f(x)=5h }}}


c) {{{ f(x + h) - f(x)}}} over {{{h}}}


since {{{ f(x + h) - f(x)=5h }}}, we have

{{{ (f(x + h) - f(x) )/ h=5h/h=5}}}