tentukan invers dari fungsi f (x) = x+3 per 2x-1. x=1per2

Mapel : Matematika

Kelas : 10

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


→ misalkan

x + 3 / 2x - 1 = y

x + 3 = 2xy - y

x - 2xy = -y - 3

x(1 - 2y) = -y - 3

x =( -y - 3)/(1-2y)


Jadi, invers f(x)

f-¹(x) = (-x - 3)/(1 - 2x)