The domain of the function f (x) = loge(x - [x]) is :

Question

The domain of the function f (x) = loge(x - [x]) is : (A) R (B) R - Z (C) (0 , + ∞) (D) Z

Tardigrade Admin · Accepted Answer

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.

∴

Domain = R - Z.

Q. The domain of the function $f (x) = lo g_{e} (x - [x])$ is :

R

R - Z

$(0, + \infty)$

Z

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.
$∴$ Domain = R - Z.

Q. The domain of the function f(x)=loge​(x−[x]) is :

R

R - Z

(0,+∞)

Z

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. ∴ Domain = R - Z.

Q. The domain of the function $f (x) = lo g_{e} (x - [x])$ is :

$(0, + \infty)$

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.
$∴$ Domain = R - Z.