CUET Preparation Today
CUET
-- Mathematics - Section B1
Relations and Functions
Domain of the function $f(x)=\frac{1}{\sqrt{\ln\cot^{-1}}x}$ is
$(\cot 1, ∞)$
$R−\{\cot 1\}$
$(-∞, 0) ∪ (0, \cot 1)$
$(-∞, \cot 1)$
$\ln(\cot^{-1}x)>0$
$\cot^{-1}x>1$
$x<\cot 1$
∴ domain $(-∞, \cot 1)$
