Tolong di bantu ya kak :) ​

Diketahui :

f(x) = x² + 4x + 5

g(x) = 2x + 3

Ditanya :

(f o g) (x) = …?

(g o f) (x) = …?

Jawab :

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

(f o g) (x) = x² + 4x + 5

(f o g) (x) = (2x + 3)² + 4(2x + 3) + 5

(f o g) (x) = 4x² + 12x + 9 + 8x + 12 + 5

(f o g) (x) = 4x² + 20x + 26

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

(g o f) (x) = 2x + 3

(g o f) (x) = 2(x² + 4x + 5) + 3

(g o f) (x) = 2x² + 8x + 10 + 3

(g o f) (x) = 2x² + 8x + 13