   Chapter 7.3, Problem 16ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Prove Theorem 7.3.1(b): If f is any function from a set X to a set Y, then I Y ∘ f = f , where I Y is the identity function on Y.

To determine

To Prove:

IYf=f, for any function f from a set X to a set Y, where IY is the identity function on Y.

Explanation

Given information:

f is a function from a set X to a set Y, and IY is the identity function on Y .Concept used:

fog(x)=f(g(x)).

Proof:

Suppose f is a function from a set X to a set Y and IY is the identify function on Y.

Then for all x in X,

(IYf)(x)=IY(f(x))                  =IY(

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