Answer
$\color{blue}{\bf{(a) -4x-4h+2 }}$
$\color{blue}{\bf{(b) -4h }}$
$\color{blue}{\bf{(c) -4 }}$
Work Step by Step
We are given the function: $\bf{f(x)= -4x + 2 }$
$\bf{(a)}$ We are asked to find $f(x+h)$
$ -4 (x+h) +2 $
$\color{blue}{\bf{ -4x-4h+2 }}$
$\bf{(b)}$ We are asked to find $f(x+h)-f(x)$
$ -4x-4h+2 -( -4x + 2 )$
$ -4x-4h+2 +4x - 2 )$
$\color{blue}{\bf{ -4h }}$
$\bf{(c)}$ We are asked to find $\dfrac{f(x+h)-f(x)}{h}$
$\dfrac{ -4h }{h}$
$\color{blue}{\bf{ -4 }}$
