Question

Find the domain of F(x-2)=4-3x-x^2

Answer 1

The domain of any polynomial is "the set of all real numbers."

I think you may have mistyped your function, meaning F(x)=4-3x-x^2. But either way, F(x-2)=4-3x-x^2 and F(x) are polynomials, and so their domains are "the set of all real numbers."