f(x)=5x-3/2x1,x#1/2 Tentukan invers beserta caranya

Mapel : Matematika

Kelas : 10

Bab : Fungsi invers
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f(x) = 5x - 3/2x + 1


Misalkan :

5x - 3/2x + 1 = y

5x - 3 = 2xy + y

5x - 2xy = y + 3

x(5 - 2y) = y + 3

x = (y + 3)/(5 - 2y)


Jadi, inversnya adalah

f-¹(x) = (x + 3)/(5 - 2x)