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Matematika
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Pertanyaan
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1 Jawaban
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1. Jawaban arsetpopeye
(g o f)(x) = g(f(x))
= g(x - 3)
= (2(x - 3) + 1)/((x - 3) - 1)
= (2x - 6 + 1)/(x - 4)
= (2x - 5)/(x - 4)
(2x - 5)/(x - 4) = y
y(x - 4) = 2x - 5
xy - 4y = 2x - 5
xy - 2x = 4y - 5
x(y - 2) = 4y - 5
x = (4y - 5)/(y - 2)
(g o f)^-1(x) = (4x - 5)/(x - 2) ; x ≠ 2
Cara lain
(g o f)(x) = (ax + b)/(cx + d) = (2x - 5)/(x - 4)
(g o f)^-1(x) = (-dx + b)/(cx - a) = (4x - 5)/(x - 2) ; x ≠ 2