Kisi Kisi PAT Matematika Kelas XI no 33

33. Jika 𝑓(𝑥) = 3𝑥 − 1, maka 𝑓 ⁻¹(𝑥)=...

a. (𝑥 + 1) / 2

b. (𝑥 + 1) / 3

c. 2 / (𝑥 + 1)

d. 3 / (𝑥 + 1)

e. 1/3𝑥 + 1

Jawaban :

𝑓(𝑥) = 3𝑥 − 1

y = 3x - 1

3x = y + 1

x = 1/3 (y + 1)

𝑓 ⁻¹(y) = 1/3 (y + 1)

𝑓 ⁻¹(x) = 1/3 (x + 1)

𝑓 ⁻¹(x) = (x + 1) / 3

Jawaban : B