Domain of the function $f(x)=\frac{1}{\sqrt{\ln\cot^{-1}}x}$ is
Answer & explanation
Correct answer: option 4
$\ln(\cot^{-1}x)>0$
$\cot^{-1}x>1$
$x<\cot 1$
∴ domain $(-∞, \cot 1)$
Domain of the function $f(x)=\frac{1}{\sqrt{\ln\cot^{-1}}x}$ is
Correct answer: option 4
$\ln(\cot^{-1}x)>0$
$\cot^{-1}x>1$
$x<\cot 1$
∴ domain $(-∞, \cot 1)$