Kisi Kisi PAT Matematika Kelas XI no 20

20. Jika 𝑓(𝑥) = (𝑥 + 1) /(𝑥 − 1) dan 𝑔(𝑥) = 𝑥√𝑥, maka nilai dari (𝑓/𝑔)(4) = ...

a. 3/24

b. 5/24

c. 6/24

d. 8/24

e. 11/24

Jawaban :

𝑓(𝑥) = (𝑥 + 1) /(𝑥 − 1)

𝑔(𝑥) = 𝑥√𝑥

(𝑓/𝑔)(4) = f(4) / g(4)

kita hitung f(4) dan g(4) terlebih dahulu ya ~

𝑓(𝑥) = (𝑥 + 1) /(𝑥 − 1)

f(4) = (4 + 1) / (4 - 1)

f(4) = 5/3

𝑔(𝑥) = 𝑥√𝑥

g(4) = 4√4

g(4) = 4 . 2

g(4) = 8

(𝑓/𝑔)(4) = f(4) / g(4)

(𝑓/𝑔)(4) = (5/3) / 8

(𝑓/𝑔)(4) = 5/24

Jawaban :B