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)?

231

likes1153 views

Hank

4.8

64 Answers

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

Frequently asked questions (FAQs)

Math question: Find the vertex, axis of symmetry, and y-intercept of the quadratic function f(x) = -2x^2 + 5x - 3.

+

What is the product of the mixed number 3 1/4 and the factored number (2^3 * 5^2), expressed as a real number?

+

Math question: What is the result of dividing 3/5 by 7/8?

+

New questions in Mathematics