Jika diketahui f (x) = 2x+3 ,g (x) = x kuadrat + x – 2 maka tentukan gof (x) dan gof (4)

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Jika diketahui f (x) = 2x+3 ,g (x) = x kuadrat + x – 2 maka tentukan gof (x) dan gof (4)

f(x) = 2x + 3

g(x) = x² + x – 2

(g o f)(x) = g(f(x))

(g o f)(x) = (2x + 3)² + (2x + 3) – 2

(g o f)(x) = 4x² + 12x + 9 + 2x + 3 – 2

(g o f)(x) = 4x² + 14x + 10

(g o f)(4) = 4(4)² + 14(4) + 10

(g o f)(4) = 4(16) + 56 + 10

(g o f)(4) = 64 + 66

(g o f)(4) = 130