Kisi Kisi PAT Matematika Kelas XI no 141

141. Diketahui 𝑓(𝑥) = 𝑥^2 − 4 dan g(𝑥) = (1 − 2𝑥)/ (𝑥 + 1) . Tentukan hasil operasi (𝑓/𝑔)(−2) !

a. -5

b. -1

c. 0

d. 1

e. 5

Jawaban :

𝑓(𝑥) = 𝑥^2 − 4

g(𝑥) = (1 − 2𝑥)/ (𝑥 + 1)

(𝑓/𝑔)(−2) = f(-2) / g(- 2)

maka hitung dulu f(- 2) dan g(-2)

𝑓(𝑥) = 𝑥^2 − 4

f(-2) = (-2)^2 - 4

f (-2) = 4 - 4

f (-2) = 0

g(𝑥) = (1 − 2𝑥)/ (𝑥 + 1)

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

g(-2) = (1 + 4) / (-1)

g(-2) = 5 / (-1)

g(- 2) = - 5

(𝑓/𝑔)(−2) = f(-2) / g(- 2)

(𝑓/𝑔)(−2) = 0 / (-5)

(𝑓/𝑔)(−2) = 0

Jawaban : C