Answer
$\color{blue}{\bf{(a) 4x+4h+11 }}$
$\color{blue}{\bf{(b) 4h }}$
$\color{blue}{\bf{(c) 4 }}$
Work Step by Step
We are given the function: $\bf{f(x)= 4x + 11 }$
$\bf{(a)}$ We are asked to find $f(x+h)$
$ 4 (x+h) +11 $
$4x+4h+11$
$\color{blue}{\bf{ 4x+4h+11 }}$
$\bf{(b)}$ We are asked to find $f(x+h)-f(x)$
$ 4x+4h+11 -( 4x + 11 )$
$ 4x+4h+11 -4x - 11 $
$\color{blue}{\bf{ 4h }}$
$\bf{(c)}$ We are asked to find $\dfrac{f(x+h)-f(x)}{h}$
$\dfrac{ 4h }{h}$
$\color{blue}{\bf{ 4 }}$
