Bntu jawab nomer 2 dan 3 aja kak plis​

Posted on

Bntu jawab nomer 2 dan 3 aja kak plis​

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