1. Diket fungsi f(x)= x²+3x-4 dan (f+g)(x)= x²+x+2. Nilai g(x)=……

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2. Diket fungsi f(x)=x-2 dan g(x)= x²+3x-4. Hasil dari (gof)(-1)=…….

1. Diket fungsi f(x)= x²+3x-4 dan (f+g)(x)= x²+x+2. Nilai g(x)=……

Jawaban Terkonfirmasi

1) (f + g) (x) = f(x) + g(x)
g(x) = (f + g) (x) – f(x)
g(x) = x² + x + 2 – (x² + 3x – 4)
g(x) = x² – x² + x – 3x + 2 + 4
g(x) = -2x + 6

2) (g o f) (x) = g (f(x))
(g o f) (x) = (x – 2)² + 3(x – 2) – 4
(g o f) (x) = x² – 4x + 4 + 3x – 6 – 4
(g o f) (x) = x² – x – 6

(g o f) (-1) = (-1)² – (-1) – 6
(g o f) (-1) = 1 + 1 – 6
(g o f) (-1) = -4