Invers dari fungsimohon dibantu jawab ya​

Jawab:

A

Penjelasan dengan langkah-langkah:

f(x) = (2x + 1) / (3x + 5)

g(x) = 4x – 1

(fog)(x) = (2(4x – 1) + 1) / (3(4x – 1) + 5)

           = (8x – 2 + 1) / (12x – 3 + 5)

           = (8x – 1) / (12x + 2)

(fog)(x) = (8x – 1) / (12x + 2)

(fog)⁻¹(x) = ?

rucep :

f(x) = (ax + b)/(cx + d)

f^-1 (x) = (-dx + b) / (cx – a)

(fog)(x) = (8x – 1) / (12x + 2)

(fog)⁻¹(x) = (-2x – 1) / (12x – 8)

              = (2x + 1) / (8 – 12x)