If $[\cdot]$ denotes the greatest integer function, then the domain and range of the function…

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
  1. $\mathbb{R}-\{0\}, \mathbb{R}-\{0\}$
  2. $\mathbb{R}^{+},\{0\}$
  3. $\mathbb{R}^{+}, \mathbb{R}$
  4. $\mathbb{R},\{0\}$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (25 Apr Shift 2)

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