Answer
$\color{blue}{\bf{(a) -2x-2h+5 }}$
$\color{blue}{\bf{(b) -2h }}$
$\color{blue}{\bf{(c) -2 }}$
Work Step by Step
We are given the function: $\bf{f(x)= -2x + 5 }$
$\bf{(a)}$ We are asked to find $f(x+h)$
$ -2 (x+h) +5 $
$\color{blue}{\bf{ -2x-2h+5 }}$
$\bf{(b)}$ We are asked to find $f(x+h)-f(x)$
$ -2x-2h+5 -( -2x + 5 )$
$ -2x-2h+5 +2x - 5 $
$\color{blue}{\bf{ -2h }}$
$\bf{(c)}$ We are asked to find $\dfrac{f(x+h)-f(x)}{h}$
$\dfrac{ -2h }{h}$
$\color{blue}{\bf{ -2 }}$
