Question

Jika f^(-1 ) (x) = (x-1)/5 dan g^(-1 ) (x )= (3-x)/2, maka (f o g)^(-1) (6) = ...

Mohon bantuannya ya. Terimakasih.

Answer 1

Jawab:

Fungsi komposisi dan invers

(fog)⁻¹ (x) =  { g⁻¹ o f⁻¹) (x)

(fog)⁻¹ (x) =  g⁻¹ { f⁻¹(x)}

Penjelasan dengan langkah-langkah:

f⁻¹ (x) = ( x- 1 ) / 5

g⁻¹ (x) = (3 - x) /2

.

(fog)⁻¹ (x) =  g⁻¹ { f⁻¹(x)}

(fog)⁻¹ (6) =  g⁻¹ { f⁻¹(6)}

(fog)⁻¹ (6) =  g⁻¹ { (6-1)/5)}

(fog)⁻¹ (6) =  g⁻¹ { 5/5 }

(fog)⁻¹ (6) =  g⁻¹ {1}

(fog)⁻¹ (6) =  (3 - 1)/2

(fog)⁻¹ (6) =  2/2

(fog)⁻¹ (6) =  1