If $[\cdot]$ denotes the greatest integer function, then the domain and range of the function $f(x)=\frac{\sin [x] \pi+\tan [x] \pi}{1+[x]^2+[x]^4}$ are respectively

• A

  $\mathbb{R}-\{0\}, \mathbb{R}-\{0\}$
• B

  $\mathbb{R}^{+},\{0\}$
• C

  $\mathbb{R}^{+}, \mathbb{R}$
• Correct answer
  D

  $\mathbb{R},\{0\}$

Hence, the correct answer is option: 'D'.