Matematika

Pertanyaan

Di ketahui f(x)=xkuadrat,g(x)=x-3 dan h(x)=5x tentukan (fo(goh))(x)

1 Jawaban

  • f(x) = x^2, g(x) = x - 3, h(x) = 5x
    ditanyakan (fo(goh))(x) ??
    penyelesaian:
    Misal k(x) = (g o h) (x)
    =======> = g (h(x))
    =======> = g (5x)
    =======> = 5x - 3
    (fo(goh))(x) = (f o k) (x)
    ========> = f (k(x))
    ========> = f (5x - 3)
    ========> = (5x - 3)^2
    ========> = (5x - 3) (5x - 3)
    ========> = 25x^2 - 15x - 15x + 9
    ========> = 25x^2 - 30x + 9

    keterangan : tanda (^) adlah pangkat

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