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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 51E
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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
Transcribed Image Text: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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