Bntu jawab nomer 2 dan 3 aja kak plis
NOMOR 2.
f(x) = x³ – 3
g(x) = x + 2
(fog)(x) = f(g(x))
(fog)(x) = f(x + 2)
(fog)(x) = (x + 2)³ – 3
(fog)(x) = (x + 2)²•(x + 2) – 3
(fog)(x) = (x² + 2x + 2x + 4)•(x + 2) – 3
(fog)(x) = (x² + 4x + 4)•(x + 2) – 3
(fog)(x) = (x³ + 2x² + 4x² + 8x + 4x + 8) – 3
(fog)(x) = (x³ + 6x² + 12x + 8) – 3
(fog)(x) = x³ + 6x² + 12x + 8 – 3
(fog)(x) = x³ + 6x² + 12x + 5
(fog)(-1) = (-1)³ + 6•(-1)² + 12•(-1) + 5
(fog)(-1) = (-1) + 6•(1) + 12•(-1) + 5
(fog)(-1) = (-1) + 6 + (-12) + 5
(fog)(-1) = (-2)
NOMOR 3.
(fog)(x) = 3x² + 4
f(g(x)) = 3x² + 4
g(x) + 1 = 3x² + 4
g(x) = 3x² + 4 – 1
g(x) = 3x² + 3
g(-3) = 3•(-3)² + 3
g(-3) = 3•(9) + 3
g(-3) = 27 + 3
g(-3) = 30