1-Which of the following is a homomorphism?f:Z Z, f(r) = x + 2a)030b) Of: Z12 Z30, ƒ(x) = 20x)of: Z5 → Z30, ƒ(x) = 6xd) O f: R R, f(x) = x²%3D

Consider a function .Then f is a homomorphism if and only if . .

Answered: 1- Which of the following is a…

1- Which of the following is a homomorphism? a)O f:Z→Z, f(x) = x+2 %3D b) O f: Z12 → Z30, ƒ(x) = 20x %3D 0of: Z5 → Z30, f(x) = 6x %3D d) f:R - R, f(x) = x²

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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Question

1-
Which of the following is a homomorphism?
f:Z Z, f(r) = x + 2
a)
030
b) Of: Z12 Z30, ƒ(x) = 20x
)of: Z5 → Z30, ƒ(x) = 6x
d) O f: R R, f(x) = x²
%3D

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