F(X)=X+3,g(X)=2(X)-1,data(Fog)-1(X)=...?
Matematika
WidiNurAzzahrah
Pertanyaan
F(X)=X+3,g(X)=2(X)-1,data(Fog)-1(X)=...?
2 Jawaban
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1. Jawaban bayusadewo
fog = fg(x) = f(2x-1) =2x-1+3 = 2x-2
invers y = 2x-2
2x= -2-y
x = -2-y/2
jadi (fog)-1(x)= -y-2/2= -y/2 -1 -
2. Jawaban Anonyme
f(x) = x + 3
f^-1 (x) = x - 3
g(x) = 2x - 1
g^-1 (x) = (1 + x)/2
(fog)(x)
= (g^-1 o f^-1)(x)
= (1 + (x - 3))/2
= (x - 2)/2 ✔