jika f(x)=3x-2, x € R dan fog (x) =6x+1, x€ R maka g (x)

KOMPOSISI FUNGSI

f(g(x)) = 6x + 1
3g(x) - 2 = 6x + 1
3g(x) = 6x + 1 + 2
3g(x) = 6x + 3
g(x) = 2x + 1

smg mmbantu

f(x) = 3x - 2
(f o g)(x) = f(g(x)) = 6x + 1
Dit. g(x) ?

f(x) = 3x - 2
f(g(x)) = 3g(x) - 2

3g(x) - 2 = 6x + 1
3g(x) = 6x + 1 + 2
3g(x) = 6x + 3
3g(x) = 3(2x + 1)
Coret 3

Maka rumus g(x) = 2x + 1