Answer
$\color{blue}{\bf{(a) 1-x-h }}$
$\color{blue}{\bf{(b) -h }}$
$\color{blue}{\bf{(c) -1 }}$
Work Step by Step
We are given the function: $\bf{f(x)= 1-x }$
$\bf{(a)}$ We are asked to find $f(x+h)$
$ 1- (x+h) $
$\color{blue}{\bf{ 1-x-h }}$
$\bf{(b)}$ We are asked to find $f(x+h)-f(x)$
$ 1-x-h-( 1-x )$
$ 1-x-h- 1+x $
$\color{blue}{\bf{ -h }}$
$\bf{(c)}$ We are asked to find $\dfrac{f(x+h)-f(x)}{h}$
$\dfrac{-h }{h}$
$\color{blue}{\bf{ -1 }}$
