Question

Sejam os conjuntos S = {1, 2, 3, 4}, T = {1, 2, 3, 4, 5, 6} e U = {6, 7, 8, 9, 10}
e as funções : f: S → T com f = {(1, 2), (2, 4), (3, 3), (4, 6)} e g: T → U com g
= {(1, 7), (2, 6), (3, 9), (4,7), (5, 8), (6, 10)}.
Defina a função g o f

a) = {(1,6), (2,7), (3,9), (4,10)}
b) = {(6,1), (2,7), (3,9), (4,10)}
c) = {(1,6), (7,2), (3,9), (4,10)}
d) = {(1,6), (2,7), (9,3), (4,10)}
e) = {(1,6), (2,7), (3,9), (10,4)}

Answer 1

Resposta:

Explicação passo-a-passo:

S = {1, 2, 3, 4}

T = {1, 2, 3, 4, 5, 6}

U = {6, 7, 8, 9, 10}

D(f) = {1, 2, 3, 4}

Im(f) = {2, 3, 4, 6}

Dm(g) = {1, 2, 3, 4, 5, 6}

Im(g) = { 6, 7, 8, 9, 10)

D(f0g) = {1, 2, 3, 4}

Im(g0f) = { 6, 7, 8, 9, 10}

g0f = {(1, 6), ( 2, 7), (3, 9), (4, 10)}

Resp. Letra A

Answer 2

Resposta:

gof = {(1,6),(2,7),(3,9),(4,10)}

Explicação passo-a-passo:

g o f: S → U, com g o f = {(1,6), (2,7), (3,9), (4,10)}

Sejam os conjuntos S = {1, 2, 3, 4}, T = {1, 2, 3, 4, 5, 6} e U = {6, 7, 8, 9, 10} e as funções : f: S → T com f = {(1, 2), (2, 4), (3, 3), (4, 6)} e  

g: T → U com  g = {(1, 7), (2, 6), (3, 9), (4,7), (5, 8), (6, 10)}.