Question

Diketahui f(x)=2x+1/x-1 , x tidak= 1 dan g(x)=3x+1. invers fungsi (f o g)(x) adalah ....

Answer 1

Verified answer

Mapel : Matematika

Kelas : 10

Bab : Fungai Invers
===============

(f o g) (x) = f(3x + 1)

(f o g) (x) = [2(3x + 1) + 1]/(3x + 1) - 1

(f o g) (x) = 6x + 3/3x


Misalkan

6x + 3 /3x = y

6x + 3 = 3xy

3xy - 6x = 3

x(3y - 6) = 3

x = 3/(3y - 6)


Maka, fungsi inversnya

(f o g) -¹(x) = 3/(3x - 6)