jika fungsi (f o g) (x) = 38 - 15x dan g(x) =8-3x maka fungsi f(x) adalah?
Matematika
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Pertanyaan
jika fungsi (f o g) (x) = 38 - 15x dan g(x) =8-3x maka fungsi f(x) adalah?
1 Jawaban
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1. Jawaban Anonyme
g(x) = 8 - 3x
y = 8 - 3x
x = (8 - y)/3
g^-1 (x) = (8 - x)/3
(fog)(x) = F(x) = 38 - 15x
f(x) = F(g^-1 (x))
f(x) = F((8 - x)/3)
f(x) = 38 - 15 . (8 - x)/3
f(x) = 38 - 5(8 - x)
f(x) = 38 - 40 + 5x
f(x) = 5x - 2