   Chapter 7.3, Problem 3TY ### 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
1 views

# If f is a one-to=-one correspondence from X to Y. then f − 1 • f = _ _ _ _ _ _ _ and f • f − 1 = _ _ _ _ _ _ _ .

To determine

To fill:

If f is a one-to-one correspondence from X to Y, then f1f=______ and ff1=______.

Explanation

Given information:

The given statement is,

“If f is a one-to-one correspondence from X to Y, then f1f=______ and ff1=______ ”.

Since f:XY, and

f(x)=yf1(y)=x (i)

Ix:XX such that Ix(x)=x xXIy:YY such that Iy(y)=y yY

So,

(f 1f)(x)=f1(f(x))<

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