Jika f(x)=x+2/x-3 dan g(x)=2x+5 fungsi (f°g)-1(x)=
Matematika
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Pertanyaan
Jika f(x)=x+2/x-3 dan g(x)=2x+5 fungsi (f°g)-1(x)=
1 Jawaban
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1. Jawaban Anonyme
Fungsi Komposisi
f(x) = (x + 2) / (x - 3)
g(x) = 2x + 5
(fog)(x)
= (2x + 5 + 2) / (2x + 5 - 3)
= (2x + 7) / (2x + 2)
•••
f(x) = (ax + b) / (cx + d)
f^-1 (x) = (-dx + b) / (cx - a)
•••
(fog)^-1 (x) = (-2x + 7) / (2x - 2)