Matematika

Pertanyaan

f(x)=3x+2, (gof)(x)=15x+9 maka g-¹(4)=...

1 Jawaban

  • f(x) = 3x + 2

    g(f(x)) = 15x + 9
    g(3x + 2) = 5(3x + 2) - 1
    g(x) = 5x - 1
    5x = g(x) + 1
    x = (g(x) + 1)/5

    g^-1 (x) = (x + 1)/5

    g^-1 (x) = (x + 1)/5
    g^-1 (4) = (4 + 1)/5
    g^-1 (4) = 1 ✔

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