Kisi Kisi PAT Matematika Kelas XI no 26

26. Jika 𝑓(𝑥) = 3 / (4𝑥 − 2) dan 𝑔(𝑥) = 3 − 5𝑥, maka (𝑓 𝑜 𝑔)(𝑥)= ...

a. (12𝑥 − 21) / (4𝑥 + 2)

b. (12𝑥 − 21) / (4𝑥 − 2)

c. (12𝑥 + 21) / (4𝑥 + 2)

d. 3 / (10 + 20𝑥)

e. 3 / (10 − 20𝑥)

Jawaban :

𝑓(𝑥) = 3 / (4𝑥 − 2)

𝑔(𝑥) = 3 − 5𝑥

(𝑓 𝑜 𝑔)(𝑥) = f (g (x))

(𝑓 𝑜 𝑔)(𝑥) = f (3 - 5x)

(𝑓 𝑜 𝑔)(𝑥) = 3 / (4 (3 - 5x) - 2)

(𝑓 𝑜 𝑔)(𝑥) = 3 / (12 - 20x - 2)

(𝑓 𝑜 𝑔)(𝑥) = 3 / (10 - 20x)

Jawaban : E