Diketahui f : R dan g : R → R. Jika f(x) = 3 – 3x dan g(x) = 2x, rumus (gof)^-1(x) = ....
Matematika
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Pertanyaan
Diketahui f : R dan g : R → R. Jika f(x) = 3 – 3x dan g(x) = 2x, rumus (gof)^-1(x) = ....
1 Jawaban
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1. Jawaban Anonyme
gof(x) = g(f(x)) = g(3 - 3x)
= 2(3 - 3x)
gof(x) = y = 6 - 6x
6x = 6 - y
x = (6 - y)/6
gof^-1(x) = (6 - x)/6