Matematika

Pertanyaan

Jika f(x) = 1/3 (x+3) dan g(x) = 3-x, maka (gof) -¹ (3) =....
Jika f(x) = 1/3 (x+3) dan g(x)  = 3-x,  maka (gof) -¹ (3) =....

1 Jawaban

  • Kelas 10 Matematika
    Bab Fungsi Komposisi

    (gof) (x) = g(1/3 . (x + 3))
    y = 3 - (x + 3)/3
    y = (9 - x - 3)/3
    3y = 6 - x
    x = 6 - 3y
    (gof)⁻¹ (x) = 6 - 3x
    (gof)⁻¹ (3) = 6 - 3 . 3
    (gof)⁻¹ (3) = -3