Question

Jawaban Jelas + Cara...​

Answer 1

Penjelasan dengan langkah-langkah:

FUNGSI KOMPOSISI

1) f(x) = 7x + 15

g(x) = x – 3

(g o f)(x) = g(7x + 15)

(g o f)(x) = 7x + 15 – 3

(g o f)(x) = 7x + 12 ✔

2) f(x) = x² – 4x + 2

g(x) = 3x – 2

(f o g)(x) = f(3x – 2)

(f o g)(x) = (3x – 2)² – 4(3x – 2) + 2

(f o g)(x) = 9x² – 12x + 4 – 12x + 8 + 2

(f o g)(x) = 9x² – 24x + 14 ✔

Answer 2

SOAL 1

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

(g o f) (x) = (7x + 15) - 3

(g o f) (x) = 7x + 15 - 3

(g o f) (x) = 7x + 12

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SOAL 2

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

(f o g) (x) = (3x - 2)² - 4(3x - 2) + 2

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

(f o g) (x) = 3x² - 12x - 4 - 12x + 10

(f o g) (x) = 3x² - 24x + 6

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