(d) How many pairs (f, g) E F x F are there so that go f(1) #1 or go f(2) + 2? Explain.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 64E
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How do you deal with part(d)
3. Let A = {1,2, 3, 4}. Let F be the set of all functions from A to A.
(a) How many pairs (f, g) E F × F are there so that go
f(1) = 1? Explain.
(b) How many pairs (f, g) E F × F are there so that gof(1) = 1 and go f(2)
(c) How many pairs (f, g) E F × F are there so that go f(1) = 1 or go f(2) = 2? Explain.
(d) How many pairs (f, g) E F x F are there so that go f(1) ±1 or go f(2) + 2? Explain.
2? Explain.
Transcribed Image Text:3. Let A = {1,2, 3, 4}. Let F be the set of all functions from A to A. (a) How many pairs (f, g) E F × F are there so that go f(1) = 1? Explain. (b) How many pairs (f, g) E F × F are there so that gof(1) = 1 and go f(2) (c) How many pairs (f, g) E F × F are there so that go f(1) = 1 or go f(2) = 2? Explain. (d) How many pairs (f, g) E F x F are there so that go f(1) ±1 or go f(2) + 2? Explain. 2? Explain.
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