Let

be a function

The image of through F is the set

The preimage of through F is the set

Give a proof or a counterexample

a.If w is a nonempty set of subsets of a then

b.If w is a nonempty set of subsets of a then

c.If w is a nonempty set of subsets of b then

d.If w is a nonempty set of subsets of b then

I'm just having trouble seeing these so any help would be much appreciated