Matematika

Pertanyaan

Jika f(x)= 3x+4 dan g(x)= 2x-3 maka nilai (f ○ g)^-1 (x) ?

1 Jawaban

  • f(x) = 3x +4
    g(x) = 2x-3

    (fog)(x) = f(g(x)) = f (2x-3) = 3(2x-3)+4 = 6x-9+4 = 6x-5

    (fog)(x) = 6x - 5
    y = 6x - 5
    6x = y+5
    x = y+5/6
    (fog)^-1(x) = x+5/6

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