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CUET
-- Mathematics - Section B1
Relations and Functions
The domain of function $f(x)=\log_e(x-[x])$ is (where [x] is greatest integer ≤ x)
$R$
$R-I$
$(0, +∞)$
$I$
$f (x) = log(x −[x])$ is defined if $x −[x] > 0$
$⇒\{x\}>0⇒x∉I$
∴ Domain = $R – I$