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the function g q q is a ring homomorphism such that g 3 3 and g 5 5 what are the values of g 8 and g 9

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The function g:Q→Q is a ring homomorphism such that g(3)=3 and g(5)=5. What are the values of g(8) and g(9)?

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Answer to a math question The function g:Q→Q is a ring homomorphism such that g(3)=3 and g(5)=5. What are the values of g(8) and g(9)?

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Solução: Por adição preservando a propriedade do homomorfismo do anel, g\left(8\right)=g\left(3 5\right)

g\left(8\right)=g\left(3\right) g \esquerda(5\direita)

g\esquerda(8\direita)=3 5

g\esquerda(8\direita)=8 Pela multiplicação preservando a propriedade do homomorfismo do anel, g\left(9\right)=g\left(3\cdot5\right)

g\left(9\right)=g\left(3\right) \cdot g\left(3\right)

g\left(9\right)=3\cdot3

g\left(9\right)=9 Respostas: g\esquerda(8\direita)=8

g\esquerda(9\direita)=9

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