Question

Jawablah 2 pertanyaan berikut!
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Answer 1

Verified answer

1. gof(x) = 4x² - 4x + 2
2. fog(x) = 4x² + 6x + 1

Answer 2

Verified answer

Mapel : Matematika
Materi : Persamaan Fungsi

Soal No. 1
f(x) = -2x + 3
g(x) = x² - 4x + 5

(g o f) (x) = g(f(x))

(g o f) (x) = (-2x + 3)² - 4(-2x + 3) + 5
(g o f) (x) = 4x² - 12x + 9 + 8x - 12 + 5
(g o f) (x) = 4x² - 4x + 2

Soal No. 2
f(x) = x² + x - 1
g(x) = 2x + 1

(f o g) (x) = f(g(x))

(f o g) (x) = (2x + 1)² + (2x + 1) - 1
(f o g) (x) = 4x² + 4x + 1 + 2x + 1 - 1
(f o g) (x) = 4x² + 6x + 1

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