Matematika

Pertanyaan

F(x) = 3x+4 dan g(x) = x-1
Tentukan (gof) dan (fog)
f^-1 dan g^-1,
(gof)^-1 dan (fog) ^-1

1 Jawaban

  • f(x) = 3x +4
    g(x) = x-1

    a) (gof) (x) = (3x+4) -1
    = 3x +3
    b) (fog) = 3(x-1)+4
    = 3x-3 +4
    = 3x + 1
    c) f(x) = 3x +4
    y = 3x +4
    x =( y - 4 ) /3
    f-¹(x) = (x-4)/3

    d) g(x) = x-1
    y= x-1
    x = y+1
    g-¹(x) = x + 1

    e) (gof)(x) = 3x + 3
    y= 3x +3
    x = (y-3) /3
    (gof) -¹= (x-3) /3

    f) (fog) (x) = 3x + 1
    y = 3x +1
    x = (y-1) /3
    (fog) -¹(x) = (x-1) /3

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