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1 2 3 ƒ = ( ²2 ²³ ²) and - Let f 1 4 3. functions on {1, 2, 3, 4). and g = 1 2 3 4 4 2. 1 3 a. Find fog and g of 1 2 b. Find f-¹ and verify that fo f¹ = (1 1 (1 c. Find gʻ¹ and verify that g 0 g₁¹ = (₁ 2 be two permutation 3 4 4) = f ¹ of 3 4 2 3 2 3 4) =g¹ og

1 2 3 ƒ = ( ²2 ²³ ²) and - Let f 1 4 3. functions on {1, 2, 3, 4). and g = 1 2 3 4 4 2. 1 3 a. Find fog and g of 1 2 b. Find f-¹ and verify that fo f¹ = (1 1 (1 c. Find gʻ¹ and verify that g 0 g₁¹ = (₁ 2 be two permutation 3 4 4) = f ¹ of 3 4 2 3 2 3 4) =g¹ og

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1 2 3 ƒ = ( 2²2 ² ³ 3) and 1 4 functions on {1, 2, 3, 4). - Let f = and g = 1 1 2 3 4 4 2. 3 a. Find fog and g of b. Find f-¹ and verify that fo f¹ = (₁ 1 1 2 3 4 1 c. Find gʻ¹ and verify that g 0 g¹ = (₁ be two permutation 2 4) =f¹ of 3 4 2 3 2 3 4 ) =g¹ og
Transcribed Image Text:1 2 3 ƒ = ( 2²2 ² ³ 3) and 1 4 functions on {1, 2, 3, 4). - Let f = and g = 1 1 2 3 4 4 2. 3 a. Find fog and g of b. Find f-¹ and verify that fo f¹ = (₁ 1 1 2 3 4 1 c. Find gʻ¹ and verify that g 0 g¹ = (₁ be two permutation 2 4) =f¹ of 3 4 2 3 2 3 4 ) =g¹ og
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