Jika diketahui f(x) = x² – 3x + 4 dan g(x) = 2x – 3, nilai dari (f o g) (5)​

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Jika diketahui f(x) = x² – 3x + 4 dan g(x) = 2x – 3, nilai dari (f o g) (5)​

f(x) = (x² – 3x + 4)

g(x) = (2x – 3)

(fog)(x) = f(g(x))

(fog)(x) = f(2x – 3)

(fog)(x) = (2x – 3)² – 3•(2x – 3) + 4

(fog)(x) = (4x² – 12x + 9) – 6x + 9 + 4

(fog)(x) = 4x² – 12x + 9 – 6x + 9 + 4

(fog)(x) = 4x² – 12x – 6x + 9 + 9 + 4

(fog)(x) = 4x² – 18x + 22

(fog)(5) = 4•(5)² – 18•5 + 22

(fog)(5) = 4•25 – 90 + 22

(fog)(5) = 100 – 90 + 22

(fog)(5) = 32