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
a = 8 - 3x
x = (8 - a)/3
(fog)(x) = 38 - 15x
f(a) = 38 - 15 (8 - a)/3
f(a) = 38 - 5(8 - a)
f(a) = 38 - 40 + 5a
f(a) = -2 + 5a
f(a) = 5a - 2
Maka,
f(x) = 5x - 2