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