diketahui g ( x ) = 3x + 2 dan( f o g) ( x) = 6x - 4. rumus f ( x ) = ...

◾ Materi : Fungsi
◾ Sub materi : Fungsi Komposisi
◾ Mapel : Matematika
◾ Keyword : Komposisi Fungsi

Jawab :
g(x) = 3x + 2
(fog)(x) = 6x - 4

f(g(x)) = 6x - 4
f(3x+2) = 6x - 4
misalkan : u = 3x + 2
3x = (u-2)
x = (u-2)/3

f(u) = 6((u-2)/3) + 2
f(u) = 2(u-2) + 2
f(u) = 2u-4+2
f(u) = 2u-2

maka,
f(x) = 2x -2

semoga membantu
# sharing is caring #
-vin