Matematika

Pertanyaan

jika diketahui g(×)=5×-3 dan (fog)(x)=
[tex] \frac{4x - 5}{3x + 1?} (koma)x = - \frac{1}{3} [/tex]
tetukan g(2)
tolong di bantu yaa kak

1 Jawaban

  • Fungsi KomPosisi

    g(x) = 5x - 3
    g^-1 (x) = (x + 3)/5

    (fog)(x) = F(x) = (4x - 5)/(3x + 1)

    f(x) = F(g^-1 (x)
    = (4 (x + 3)/5 - 5) / (3 (x + 3)/5 + 1)
    = ((4x + 12 - 25)/5) / ((3x + 9 + 5)/5)
    = (4x - 13)/(3x + 14)

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