Answer
a) $6$; b) $4$; c) $2$; d) $|x|$
Work Step by Step
We are given the function:
$h(x)=|x-2|$
a) Compute $h(-4)$:
$h(-4)=|-4-2|=|6|=6$
b) Compute $h(-2)$:
$h(-2)=|-2-2|=|-4|=4$
c) Compute $h(0)$:
$h(0)=|0-2|=|2|=2$
d) Compute $h(-x+2)$:
$h(-x+2)=|-x+2-2|=|-x|=|x|$
