Diketahui = f(x)=4x+1 g(x)=6-5x-x^2
Tentukan
(Fog)(x)
(Gof)(x)
(Fog)(-1)
(Gof)(-1)
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Tentukan
(Fog)(x)
(Gof)(x)
(Fog)(-1)
(Gof)(-1)
f(x) = (4x + 1)
g(x) = (6 - 5x - x²)
(fog)(x) = f(g(x))
(fog)(x) = f(6 - 5x - x²)
(fog)(x) = 4•(6 - 5x - x²) + 1
(fog)(x) = 24 - 20x - 4x² + 1
(fog)(x) = 24 +1 - 20x - 4x²
(fog)(x) = 25 - 20x - 4x²
(fog)(-1) = 25 - 20•(-1) - 4•(-1)²
(fog)(-1) = 25 - (-20) - 4•1
(fog)(-1) = 25 + 20 - 4
(fog)(-1) = 41
(gof)(x) = g(f(x))
(gof)(x) = g(4x + 1)
(gof)(x) = 6 - 5•(4x + 1) - (4x + 1)²
(gof)(x) = 6 - 20x - 1 - (16x² + 8x + 1)
(gof)(x) = 6 - 1 - 20x - 16x² - 8x - 1
(gof)(x) = 6 - 1 - 1 - 20x - 8x - 16x²
(gof)(x) = 4 - 28x - 16x²
(gof)(-1) = 4 - 28•(-1) - 16•(-1)²
(gof)(-1) = 4 - (-28) - 16•1
(gof)(-1) = 4 + 28 - 16
(gof)(-1) = 16
[answer.2.content]
