Question: Show that an affine function maps affine sets to affine sets, and vice versa. That is, if S is an affine subset of X, then

Show that an affine function maps affine sets to affine sets, and vice versa. That is, if S is an affine subset of X, then f (S) is an affine subset of Y; if T is an affine subset of Y, then f-1 (T) is an affine subset of X.

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