Question

Diketahuif(x) = x -2, g(x) = 3x + 1, h(x) = x2 -4. jika (fohog)(x)=3, maka nilai x adalah...

Answer 1

Verified answer

Jawab:

Penjelasan dengan langkah-langkah:

(fohog)(x) = 3

f(h(g(x))) = 3

f(h(3x+1)) = 3

f((3x+1)²-4)=3

f(9x²+6x+1-4)=3

9x²+6x-3 -2 = 3

9x² +6x - 8 = 0

(3x+4)(3x-2)= 0

x = - 4/3 atau x = 2/3

Answer 2

Verified answer

Fungsi Komposisi

(fohog)(x) = 3

(3x + 1)² - 4 - 2 = 3

(3x + 1)² = 6 + 3

3x + 1 = 3 atau 3x + 1 = -3

3x + 1 = 3

3x = 2

x = 2/3

3x + 1 = -3

3x = -4

x = -4/3

Nilai x :

2/3 atau -4/3