Matematika

Pertanyaan

Diketahui (g o f) (x) = 6 - 6x. Jika f(x) = 2x + 3, tentukan:
a. g(x)
b. (f o g) (x)
tolong di jawab pliss, mw dikumpulin

1 Jawaban

  • Kelas 10 Matematika
    Bab Fungsi Komposisi

    a] (gof) (x) = 6 - 6x
    g (2x + 3) = 6 - 6x
    g (2 . x/2 + 3) = 6 - 6 . x/2
    g (x + 3) = 6 - 3x
    g (x - 3 + 3) = 6 - 3 (x - 3)
    g (x) = 6 - 3x + 3
    g (x) = 9 - 3x

    b] (fog) (x)
    = f (9 - 3x)
    = 2 (9 - 3x) + 3
    = 18 - 6x + 3
    = 21 - 6x

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