Diketahui F(x) = x – 4 dan g(x) = 2x² +1 nilai g (F(x)):​

Dik:

f(x) = x – 4

g(x) = 2x² + 1

Dit: g(f(x))?

Jawab:

(g ο f)(x) = g(f(x))

(g ο f)(x) = 2(f(x))² + 1

(g ο f)(x) = 2 (x – 4)² + 1

(g ο f)(x) = 2 (x² – 8x + 16) + 1

(g ο f)(x) = 2x² – 16x + 32 + 1

(g ο f)(x) = 2x² – 16x + 33