Diketahui g(x) = x - 1 dan ( f o g) (x) = x^2 - 1 tentukan: A.) F(x) B.) F^-1 (x)

fog = x²-1
f(x-1) = x²-1
f(x-1) = (x-1)² + 2(x-1)
f(x) = x² +2x
.
y = x² +2x
y = (x+1)² -1
y +1 = (x+1)²
x+1 = ±√(y+1)
x = -1±√(y+1)
f^-1 (x) = -1±√(x+1)