4. The identity function on a set S, denoted by Is, is defined as follows: Is: SS by Is (x) = x for each x = S. Let f: A → B. * (a) For each x Є A, determine (fo IA)(x) and use this to prove that fo IA = f. (b) Prove that IB° f = f.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 24E
Question
4. The identity function on a set S, denoted by Is, is defined as follows:
Is: SS by Is (x) = x for each x = S. Let f: A → B.
* (a) For each x Є A, determine (fo IA)(x) and use this to prove that fo
IA = f.
(b) Prove that IB° f = f.
Transcribed Image Text:4. The identity function on a set S, denoted by Is, is defined as follows: Is: SS by Is (x) = x for each x = S. Let f: A → B. * (a) For each x Є A, determine (fo IA)(x) and use this to prove that fo IA = f. (b) Prove that IB° f = f.
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