Matematika

Pertanyaan

diketahui f(x) = {(1,3), (2,2), (3.1), (4,4)} dan g(x) = {(1,4), (2,3), (3,2), (4,1)}
tentukan :
a. gof
b. fog
c. gof (2)
d. fof

1 Jawaban

  • jawab

    a) gof

    f.......g
    1,3 --> 3.2
    2,2 --> 2,3
    3,1 --> 1,4
    4,4,--> 4,1 
    gof (x)= (1,2), (2,3),(3,4),(4,1)

    b. fog
    g.....f
    1,4 --> 4,4,
    2,3 --> 3,1
    3,2 --> 2,2
    4,1---> 1.3
    fog(x) = (1.4),(2,1),(3,2),(4,3)

    cgof(2)
    f(2) = 2 --> g(2) = 3 --> gof(2) = 3

    d. fof
    (1,3),--> (31)
    (2,2)---> (2,2)
    (3,1) --> (1,3)
    (4,4)--> (4,4)
    fof  = (1,1), (2,2), (3,3), (4,4)

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