Matematika Diketahui f(x) = 3x - 4 dan g(x) = 5- 2x Tentukan a. (fog)(x) b. (fog)(1)​

newellkuphalulv – June 07, 2023

Diketahui f(x) = 3x - 4 dan g(x) = 5- 2x
Tentukan
a. (fog)(x)
b. (fog)(1)​

》Fungsi Komposisi

a. (fog)(x) = f(g(x))

• = f(5 - 2x)
• = 3 (5 - 2x) - 4
• = 3.5 - 3.2x - 4
• = 15 - 6x - 4
• = 11 - 6x

b. (fog)(1) = 11 - 6x

• = 11 - 6.1
• = 11 - 6
• = 5

Semoga Membantu

Diketahui :

f(x) = 3x - 4

g(x) = 5- 2x

Ditanya :

a. (fog)(x)

b. (fog)(1)

Jawab :

• ( f o g ) ( x ) = 11 - 6x

( f o g) ( x )

f ( g ( x ) )

3 ( 5 - 2x ) - 4

15 - 6x - 4

15 - 4 - 6x

11 - 6x

• ( f o g ) ( 1 ) = 5

( f o g ) ( x )

11 - 6x

11 - 6(1)

11 - 6

5

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