diketahui f(x)=x-3 dan ( g o f) = (x +3)^2. nilai g (-4) adalah

(gof)(x) = g(f(x)
(x + 3)² = g(x - 3)

Misal,
a = x - 3
a + 3 = x

((a + 3) + 3)² = g(a)
(a + 6)² = g(a)
a² + 12a + 36 = g(a)
x² + 12x + 36 = g(x)

g(-4) = (-4)² + 12(-4) + 36
g(-4) = 16 - 48 + 36
g(-4) = -32 + 36
g(-4) = 4

Langsung aja y

(gof)(x) = g{f(x)}
(x+3)² = g(x-3)

Misal :
x-3 = a
x = a+3

Soal menjadi →
g(a) = (a+3+3)²
g(a) = (a+6)²
g(a) = a² + 12a + 36

g(-4) = -4² + 12(-4) + 36
g(-4) = 16 - 48 + 36
g(-4) = 4

Jawabannya D

Semoga berguna +_+