jika g(x) =x^ - 1 dan fungsi (fog)(x) =x^4 maka f(4) =.....
Matematika
Melly451
Pertanyaan
jika g(x) =x^ - 1 dan fungsi (fog)(x) =x^4 maka f(4) =.....
1 Jawaban
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1. Jawaban iizzazz
(f • g)(x) =x^(4)
g(x) = x^(-1) = 1/x
cari dulu g^(-1) (x) = 1/x
Ingat, g(g^(-1)(x)) = x
= (fog)(x)
= f (g(x))
= f (g(g^(-1)(x)))
= [ (g^(-1)(x))^(-1) ]
= [ (1/x)^(-1) ]
= x = f(x)
f(4) = 4