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Asked Feb 11, 2020
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Please solve this problem for me. TFAT means "the following are true". 

Problem 3. Let A and B be sets and f : A → B a function. Show that
(a) f is one-to-one if and only if ƒ-' is a functional relation.
(b) f is one-to-one if and only if fofl = IRng(f)
TFAT:
%3D
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Problem 3. Let A and B be sets and f : A → B a function. Show that (a) f is one-to-one if and only if ƒ-' is a functional relation. (b) f is one-to-one if and only if fofl = IRng(f) TFAT: %3D

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Expert Answer

Proof of (a)

Advanced Math homework question answer, step 1, image 1

Converse:

Advanced Math homework question answer, step 2, image 1

Prroof of (b)

Advanced Math homework question answer, step 3, image 1

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Advanced Math