Let $$[x]$$ denote the greatest integer less than or equal to $$x$$. Then the domain of $$f(x)=sec^{-1}(2[x]+1)$$ is:

A

$$(-\infty , -1]\cup [0,\infty)$$

B

$$(-\infty , -1]\cup [1,\infty)$$

C

$$(-\infty,\infty)$$

D

$$(-\infty,\infty)-\left\{0\right\}$$