Given f(x)=2x+2−xf(x) = 2^x + 2^{-x}f(x)=2x+2−x for x≥0x \geq 0x≥0, find the range of fff.
[1,∞)[1, \infty)[1,∞)
(0,∞)(0, \infty)(0,∞)
[2,∞)[2, \infty)[2,∞)
(2,∞)(2, \infty)(2,∞)