diketahui f(x) =4x-2/x-1 dan g(x) =x+1 . nilai dari (fog)^-1(2) adalah

jawab
fungsi

f(x) = (4x -2)/(x -1)
g(x) = x + 1

fog(x) = f { g(x)}=  f(x +1)
fog(x) =  {4(x +1) - 2}/ (x + 1 - 1)
fog(x) = (4x+4 -2) / (x)
fog(x) = (4x + 2)/ (x)
(fog)⁻¹ {(4x +2)/x}   = x
(fog)⁻¹ (2) =...

4x + 2 /x  = 2
4x+ 2 = 2x
2x = -2
x = -1

(fog)⁻¹(2) = - 1