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

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

Relations and Functions

Solution:

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.