Kisi Kisi PAT Matematika Kelas XI no 140

140. Diketahui 𝑓(𝑥) = 3𝑥^2 − 6 dan g (𝑥)=12/(2𝑥 + 1) . Tentukan hasil operasi (3𝑓 − 𝑔)(1) !

a. 10

b. -10

c. 13

d. -13

e. 23

Jawaban :

𝑓(𝑥) = 3𝑥^2 − 6

g (𝑥)=12/(2𝑥 + 1)

(3𝑓 − 𝑔)(1) = 3f(1) - g(1)

maka hitung dulu 3f(1) dan g(1)

𝑓(𝑥) = 3𝑥^2 − 6

f(1) = 3(1)^2 - 6

f(1) = 3 - 6

f(1) = - 3

3f(1) = 3 . (-3)

3f(1) = - 9

g (𝑥)=12/(2𝑥 + 1)

g (1) = 12 / (2 (1) + 1)

g (1) = 12 / (2 + 1)

g (1) = 12 / 3

g (1) = 4

sehingga

(3𝑓 − 𝑔)(1) = 3f(1) - g(1)

(3𝑓 − 𝑔)(1) = - 9 - 4

(3𝑓 − 𝑔)(1) = - 13

Jawaban : D