Question

Tolong bantu ini komposisi fungsi invers
Pake cara ya pls

Answer 1

Verified answer

Jawab

f(x) = (4x - 2)/(x - 3)
f⁻¹(x) = (3x - 2)/(x -4)

g(x) = (3x -2)/(x - 4)
g⁻¹(x) = (4x -2)/(x - 3)

(fog)⁻¹ (x) =  g⁻¹ o f⁻¹=  g⁻¹ { (3x -2)/(x-4) }
(fog)⁻¹(x) = 

= [ 4{(3x-2)/(x-4)} - 2] / [ {(3x-2)/(x-4)} - 3 ....kalikan (x -4)/(x-4)

= [ 4 (3x-2) - 2(x -4) ] / [(3x-2 )- 3(x-4) ]

= [ (4x -8 -2x + 8) ]/[ 3x-2 -3x + 12]

= (2x )/(10)
=  x/5