Question

Jika f(x)= 2x-3 ; g(x)= 1/ 3x+1
Hitung (fog)^-1(x)

Answer 1

(f·g)(x)= 2(1/3x+1)-3 =2-3/3x+1 =-1/3x+1 misal: y=-1/3x+1 y(3x+1)=1 3xy+y=1 y(3x+1)=1 3x+1=-y+1 3x=-y+1-1 x=-y/3 jadi (f·g)-1(x)= -x/3