The domain of function $f(x)=\log_e(x-[x])$ is (where [x] is greatest integer ≤ x)
Answer & explanation
Correct answer: option 2
$f (x) = log(x −[x])$ is defined if $x −[x] > 0$
$⇒\{x\}>0⇒x∉I$
∴ Domain = $R – I$
The domain of function $f(x)=\log_e(x-[x])$ is (where [x] is greatest integer ≤ x)
Correct answer: option 2
$f (x) = log(x −[x])$ is defined if $x −[x] > 0$
$⇒\{x\}>0⇒x∉I$
∴ Domain = $R – I$