G(x) = x+1 dan (f o g) (x) = x^{2}-3, maka (g o f) (x) adalah.. Please bantu y guys :)

g(x):
y = x + 1
x = y - 1
y = x - 1

f(g(x)):
[tex] {x}^{2} - 3 \\ ((x - 1)(x - 1)) - 3 \\ ( {x}^{2} - 2x + 1) - 3 \\ {x}^{2} - 2x - 2[/tex]
g(f(x):
[tex]( {x}^{2} - 2x - 2) + 1 \\ {x}^{2} - 2x - 1[/tex]