The domain of function $f (x) = log_{e} (x - [x])$ , where $[.]$ denotes the greatest integer function is

R

No worries! We‘ve got your back. Try BYJU‘S free classes today!

R - - Z

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

(0, + \infty)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

N o n e o f t h e s e

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $R - - Z$
$\begin{matrix} {log}_{e} (x - [x]) x - [x] > 0 {x} > 0 x \in R - - Z \end{matrix}$

Suggest Corrections

Similar questions

f (x) = {log}_{e} (x - [x]),

[x]

f (x) = {log}_{5} (x - [x])

f (x) = \frac{sin (log (x^{2} - 4 x + 4))}{([x] - 1)}

[.]

f (x) = \frac{1}{\sqrt{x - (x]}}

f (x) = \frac{7}{[| x |] - 5}

[.]

Join BYJU'S Learning Program