Kisi Kisi PAT Matematika Kelas XI no 19

19. Diketahui 𝑓(𝑥) = 𝑥 / (𝑥 + 1) dan 𝑔(𝑥) = 𝑥/(𝑥 − 1). Nilai dari (𝑓 − 𝑔)(3) = ...

a. −3/4

b. −2/4

c. −1/4

d. 3/4

e. 1/4

Jawaban :

𝑓(𝑥) = 𝑥 / (𝑥 + 1)

𝑔(𝑥) = 𝑥/(𝑥 − 1)

(𝑓 − 𝑔)(3) = f(3) - g(3)

kita hitung f(3) dan g(3) terlebih dahulu ya ~

𝑓(𝑥) = 𝑥 / (𝑥 + 1)

f(3) = 3 / (3 + 1)

f(3) = 3/4

𝑔(𝑥) = 𝑥/(𝑥 − 1)

g(3) = 3/(3 - 1)

g(3) = 3/2

(𝑓 − 𝑔)(3) = f(3) - g(3)

(𝑓 − 𝑔)(3) = 3/4 - 3/2

(𝑓 − 𝑔)(3) = 3/4 - 6/4

(𝑓 − 𝑔)(3) = - 3/4

Jawaban : A