1. Because f(x) is a fraction and the denominator is not zero, the x power of 2 and the -X power of 2 are always greater than 0, and the sum must always be greater than 0.

So the domain of f(x) is x ∈ r.

F(x)= 1-[2 -x power /(2 -x power +2 -x power)], because 2 -x power is always greater than 0 and 2 -x power +2 -x power is always greater than 0, so 2 -x power /(2-x power +2-x power) is always greater than 0.

2. let x 1, x2∈R, X 1 < X2.

F(x 1)-F(x2)=[(x2 of 2 * x 65438 of 2+0-2-x 1-2-x2 of 2)/(x2 of 2+-x2 of 2)(x 65438 of 2+0+2 of 2)