Question

22. Jika g(x) = x – 3 dan (gof)(x) = 2x – 2 maka f(x) = … .

A 2x + 1

B 2x + 2

C 2x + 3

D 2x – 1

E 2x

​

Answer 1

Penjelasan dengan langkah-langkah:

g(x) = x-3

(gof)(x) = 2x - 2

g(f(x)) = 2x - 2

f(x) - 3 = 2x - 2

f(x) = 2x - 2 + 3

f(x) = 2x + 1

Answer 2

Diketahui

g(x) = x - 3

g o f (x) = 2x - 2

Ditanya :

f(x) = .........?

Penyelesaian:

g(f(x)) = g o f (x)

= 2x - 2

f(x) - 3 = 2x - 2

f(x) = 2x - 2 + 3

f(x) = 2x + 1

Jawaban: A.