   Chapter 7.3, Problem 4TY ### 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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# If f is a one-to-one function from X to Y and g is a one-to-one function from Y to Z, you prove that g ∘ f is one-to-one by supposing that _____and then showing that______.

To determine

To fill:

If f is a one-to-one function from X to Y and g is a one-to-one function from Y to Z, you prove that gf is one-to-one by supposing that _____ and then showing that _____.

Explanation

Given information:

The given statement is,

“A one-to-one correspondence from a set X to a set Y is a _______ that is _________”.

Since, f:XY such that

f(x)=y

And

g:YZ such that

g(y)=z

Then, (gf)(x1)=(gf)(x2)g(f( x 1 ))=g(f( x 2

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