Answer
$\color{blue}{\bf{(a) 6x+6h+2 }}$
$\color{blue}{\bf{(b) 6h }}$
$\color{blue}{\bf{(c) 6 }}$
Work Step by Step
We are given the function: $\bf{f(x)= 6x+2 }$
$\bf{(a)}$ We are asked to find $f(x+h)$
$ 6 (x+h) +2 $
$6x+6h+2$
$\color{blue}{\bf{ 6x+6h+2 }}$
$\bf{(b)}$ We are asked to find $f(x+h)-f(x)$
$ 6x+6h+2 -( 6x+2 )$
$ 6x+6h+2 - 6x-2 $
$\color{blue}{\bf{ 6h }}$
$\bf{(c)}$ We are asked to find $\dfrac{f(x+h)-f(x)}{h}$
$\dfrac{ 6h }{h}$
$\color{blue}{\bf{ 6 }}$
