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 .

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- April 20th 2010, 01:05 PMonemoreImage and Inverse Images for Projection Functions
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 . - April 20th 2010, 09:56 PMkompik
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)?