Question

The domain of the function $f (x) = \log_e(x - [x])$ is :

• A. R
• B. R - Z
• C. $(0 , + \infty)$
• D. Z

Answer 1

Answer: (B)

R - Z

Answer 2

For the function f(x) to be defined x - [x] > 0 Thus x > [x], this is possible for all real value of x except the integers. So Domain of the function is all Real no. except integers. $\therefore$ Domain = R - Z.