Tentukan f(x) jika g(x)= 2x-1 dan (f o g)(x)= 4x^+2x-3
Matematika
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Pertanyaan
Tentukan f(x) jika g(x)= 2x-1 dan (f o g)(x)= 4x^+2x-3
1 Jawaban
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1. Jawaban dedenkusnandar
g(x) = 2x - 1
(f o g) (x) = 4x² + 2x - 3
f(2x - 1) = 4x² + 2x - 3
2x - 1 = a
x = (a + 1) / 2
f(a) = (4(a + 1) / 2) + (2(a + 1)/2) - 3
f(a) = 2a + 2 + a + 1 - 3
f(a) = 3a
f(x) = 3x