Question

Jika f(x)=x^2-3x-4 dan (fog)=4x^2+6x-4. tentukan g(x)
bantu dong kakak-kakak..

Answer 1

F(x) = x^2 - 3x - 4
fog (x) = 4x^2 + 6x - 4
g(x) = ?

f [g(x)] = fog (x)
g(x)^2 - 3g(x) - 4 = 4x^2 + 6x - 4
g(x)^2 - 3g(x) = 4x^2 + 6x
g(x) [g(x) - 3] = 2x [2x - 3]

Dari bentuk di atas sudah jelas bahwa g(x) = 2x


Semoga membantu :)