diketahui f(x)= 2x+1 , g(x)= (x+1)/x , berapa invers (fog)(x) nya ???? sama caranya kak.
Matematika
anna30062000
Pertanyaan
diketahui f(x)= 2x+1 , g(x)= (x+1)/x , berapa invers (fog)(x) nya ???? sama caranya kak.
2 Jawaban
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1. Jawaban Anonyme
f(x) = 2x + 1
g(x) = (x + 1)/x
(fog)(x) = 2(x + 1)/x + 1
(fog)(x) = (2x + 2 + x)/x
(fog)(x) = (3x + 2)/x
▶
f(x) = (ax + b)/(cx + d)
f^-1 (x) = (-dx + b)/(cx - a)
•••
(fog)^-1 (x) = 2/(x - 3) -
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