Dimension of an affine variety V(f,g)

Question

For $X=V(f,g)\subset \mathbb{A}^n$ with $f, g \in k[x_1,...,x_n]$ what are the possibilities for the dimensions of $X$?

Answer 1

By Krull dimension theorem, the codimension is lesser or equal to the number of defining equations.

So the dimension of X is at least $n-2$.