Let A and B be nonempty sets and be the projection function for .
(a) For , determine the inverse image set .
(b) For and , determine the image .
You probably mean , not . Have you at least tried to solve this problem?
I thinkt the if you understand the definitions and if you draw a picture or think for a while, you see immediately that:
and
.
One question, to see whether you understand the problem - can you explaine why is needed in (b)?