Jika f(x) = 2x+4 dan g(x) = 2/x-1 tentukan (fog)^-1

Jika f(x) = 2x+4 dan g(x) = 2/x-1 tentukan (fog)^-1

(f○g)(x) = f(g(x)) = a
$= 2 big(g(x) big) + 4 = 2big( frac{2}{x - 1} big) + 4 \ = frac{4 + 4(x - 1)}{(x - 1)} \ a= frac{4x - 3}{x - 1}$

$4x - 3 = ax - a \ 4x - ax = 3 - a \ x(4 - a) = 3 - a \ x = frac{(3 - a)}{(4 - a)} \ maka \ fog^{ - 1} (x) = frac{3 - x}{4 - x}$