jika f ( x ) = x - 1 dan ( gof ) ( x ) = 4x pangkat 2 + 4x tentukan g ( x )
Matematika
sam173
Pertanyaan
jika f ( x ) = x - 1 dan ( gof ) ( x ) = 4x pangkat 2 + 4x tentukan g ( x )
2 Jawaban
-
1. Jawaban dharmawan12
f(x) = x - 1, gof (x) = 4x^2 + 4x
g (x - 1 ) = 4x^2 +4 x
g (x - 1) = 4 ( x - 1)^2 + 12x - 4
g ( x - 1) = 4 (x - 1)^2 + 12(x - 1) + 8
g (x) = 4x^2 +12x + 8 -
2. Jawaban firmanarchuletta
gOf(x) = g(f(x)
4x² + 4x = g(x - 1)
4(x - 1)² + 4(x - 1) + 1 = g(x - 1 + 1)
4(x² -2x +1) + 4x -4 +1 = g(x)
4x² -8x +4 +4x -4 +1 = g(x)
4x² -4x +1 = g(x)