To simplify the function F(x) = -2 + x/(-x+3), we first want to combine like terms in the numerator.

F(x) = -2 + x/(-x+3)
F(x) = -2 + x/(3-x)

Now, we can factor out a negative sign from the denominator to rewrite it as:

F(x) = -2 + x/(-(x-3))

Now, we can simplify further by factoring out a negative sign from the numerator:

F(x) = -2 - x/(x-3)

This is the simplified form of the function F(x).