Matematika

Pertanyaan

Diketahui fungsi f: R→R. Jika (fog)(x) = 4x - 6 dan f(x) = x-3 maka tentukanlah :
A. g(x) =

B. g-¹(x) =

1 Jawaban

  • (fog)(x) = 4x - 6
    f(x) = x - 3

    f(g(x)) = 4x - 6
    g(x) - 3 = 4x - 6
    g(x) = 4x - 6 + 3
    g(x) = 4x - 3 ✔

    y = 4x - 3
    4x = y + 3
    x = (y + 3)/4

    g^-1 (x) = (x + 3)/4 ✔

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