F(x) = x²-1 dan g(x)= x²+2 maka (g•f)(x)=

Mapel : Matematika

Kelas : 10

Bab : Fungsi Komposisi
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(g o f) (x) = g(x² - 1)

(g o f) (x) = (x² - 1)² + 2

(g o f) (x) = x⁴ - 2x² + 3

Dik: f(x)= x^2-1
g(x) = x^2 +2
DIt : gof(x) =........?

Jawab
Gof(x) =g(f(x))
=g(x^2-1)
=(x^2-1)^2+2
= x^4-2x^2+1+2
= x^4-2x^2+3