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Inverse Functions and Set Operations

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Let f be a function from A to B. Let S and T be subsets of B. Show that:
a)
-1 -1 -1
f (S U T) = f (s) U f (T)

b)
-1 -1 -1
f (S n T) = f (S) n f ( T)

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Solution Summary

Inverse Functions and Set Operations are investigated. The solution is detailed and well presented.

Solution Preview

Please see the attached file.

a)
If S and T are subsets of B, Then and

To show that
Let for some
for some
for ...

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