jika f^-1 (x)=x-1/5 dan g^-1=3-x/2 , maka tentukan (fog)^-1 (6)
Matematika
cahaya107
Pertanyaan
jika f^-1 (x)=x-1/5 dan g^-1=3-x/2 , maka tentukan (fog)^-1 (6)
1 Jawaban
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1. Jawaban Anonyme
f^-1 (x) = (x - 1)/5
g^-1 (x) = (3 - x)/2
(fog)^-1 (x)
= (g^-1 o f^-1)(x)
= (3 - (x - 1)/5)/2
= (15 - x + 1)/(5 × 2)
= (16 - x)/10 ✔
(fog)^-1 (6)
= (16 - 6)/10
= 1 ✔