diketahui g(x)=2x-1 dan (fog)(x)=6x-1 tentukan f(x)

(fog)(x) = 6x - 1
f(g(x)) = 6x - 1
f(2x - 1) = 6x - 1

2x - 1 = b
2x = b + 1
x = (b + 1)/2

f(b) = 6.[(b + 1)/2] - 1
f(b) = 3b + 3 - 1
f(b) = 3b + 2
f(x) = 3x + 2

Semoga bermanfaat

f(g(x)) = 6x-1
f(2x-1) = 6x-1
misalkan 2x - 1 = a
x = (a+1) / 2

f(2x-1) = 6x-1
f(a) = 6((a+1)/2) - 1
= 3(a+1) - 1
= 3a + 3 - 1
= 3a+2
f(x) = 3x+2