Matematika

Pertanyaan

Diketahui fungsi f(x) = 3x – 1 dan g(x) = 2x2 – 3 . Komposisi fungsi (g o f) (x)

1 Jawaban

  • (g o f)(x) =g(f(x))
    g(x) = 2x^2 - 3
    f(x) = 3x - 1

    g(3x - 1) = 2 × (3x -1)^2 - 3

    (3x - 1)(3x - 1)
    = 9x^2 - 3x - 3x + 1
    = 9x^2 - 6x + 1

    = 2(9x^2 - 6x + 1) - 3
    = 18x^2 - 12x + 2 - 3
    ( g o f )(x) = 18x^2 - 12x - 1

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