# JEE main

Algebra Level pending

### Find the domain of the real-valued function $$f(x)=\dfrac{1}{\sqrt{x^2-\lfloor x \rfloor ^2}}$$, where $$\lfloor \cdot \rfloor$$ represents the greatest integer function.

$\begin{array}{ll} (a)~\mathbb R - \mathbb Z &&&&&(b)~\mathbb R^+ - \mathbb Z\\ (c)~\mathbb Z &&&&&(d)~\mathbb R^+ \end{array}$

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