- #1
tomboi03
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I'm not sure how i would go about this problem...
Let f: A-> B
(which i know means... f is a function from A to B which also means... that A is the domain and B is the range or image)
Let A0[tex]\subset[/tex]A and B0[tex]\subset[/tex]B
a. show that A0[tex]\subset[/tex]f-1(f(A0)) and the equality hold if f is injective.
b. show that f-1(f(B0)) and B0 and the equality hold if f is surjective
thanks
Let f: A-> B
(which i know means... f is a function from A to B which also means... that A is the domain and B is the range or image)
Let A0[tex]\subset[/tex]A and B0[tex]\subset[/tex]B
a. show that A0[tex]\subset[/tex]f-1(f(A0)) and the equality hold if f is injective.
b. show that f-1(f(B0)) and B0 and the equality hold if f is surjective
thanks