Thursday, February 29, 2024

Kisi Kisi PAT Matematika Kelas XI no 32

32. Jika 𝑔(π‘₯) = 4π‘₯ + 3 dan (𝑓 π‘œ 𝑔)(π‘₯) = 8π‘₯ βˆ’ 6, maka rumus 𝑓(π‘₯) = ...

A. 2π‘₯ βˆ’ 14

B. 2π‘₯ βˆ’ 12

C. 2π‘₯ βˆ’ 10

D. 2π‘₯ βˆ’ 8

E. 2π‘₯ βˆ’ 6


Jawaban :

𝑔(π‘₯) = 4π‘₯ + 3

(𝑓 π‘œ 𝑔)(π‘₯) = 8π‘₯ βˆ’ 6

f (g (x)) = 8x - 6

f (4x + 3) = 8x - 6

misalkan :

a = 4x + 3

4x = a - 3

x = 1/4 (a - 3)


f (4x + 3) = 8x - 6

f (a) = 8 (1/4 (a - 3)) - 6

f (a) = 2 (a - 3) - 6

f (a) = 2a - 6 - 6

f (a) = 2a - 12

sehingga,

f (x) = 2x - 12


Jawaban : B

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