Matematika

Pertanyaan

diketahui f(x) = 2x+5 dan g(x) = ⅓ (x-2). nilai (gof)^-1 (-5) = ...
a. 5
b. 2
c. -3
d. -7
e. -9
bantuin sekarang juga yaaa plisss...

1 Jawaban

  • Kelas 10 Matematika
    Bab Fungsi Komposisi

    (gof) (x) = g(2x + 5)
    (gof) (x) = 1/3 . (2x + 5 - 2)
    y = 1/3 . (2x + 3)
    3y = 2x + 3
    2y = 3x - 3
    y = (3x - 3)/2
    (gof)⁻¹ (x) = (3x - 3)/2
    (gof)⁻¹ (-5) = (3 . (-5) - 3)/2
    (gof)⁻¹ (-5) = (-15 - 3)/2
    (gof)⁻¹ (-5) = -18/2
    (gof)⁻¹ (-5) = -9

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