Tolong bantu ini komposisi fungsi invers Pake cara ya pls
Matematika
GeoX
Pertanyaan
Tolong bantu ini komposisi fungsi invers
Pake cara ya pls
Pake cara ya pls
1 Jawaban
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1. Jawaban Anonyme
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