Answer
a) 1; b) 3; c) 7; d) -19
Work Step by Step
We are given the function:
$h(x)=[[x+3]]$ denotes the greatest integer less than or equal to $x+3$.
a) $h(-2)=[[-2+3]]=[[1]]=1$
b) $h\left(\dfrac{1}{2}\right)=[[0.5+3]]=[[3.5]]=3$
c) $h(4.2)=[[4.2+3]]=[[7.2]]=7$
d) $h\left(-21.6\right)=[[-21.6+3]]=[[-18.6]]=-19$
