Domain of the function f(x) = 1 , ^ - 1 x is - Vidyadip

MCQ

Domain of the function $f(x) =$ $\frac{1}{{\sqrt {\ln \,{{\cot }^{ - 1}}x} }}$ is

A
$(cot\,\,1 , \infty )$
B
$R - \{cot\,\,1\}$
C
$(- \infty ,0) \cup (0,cot\,\,1)$
✓
$(- \infty , cot\,\,1)$

✓

Answer

Correct option: D.

$(- \infty , cot\,\,1)$

d
ln $(cot^{-1}x) > 0$
$cot^{-1}x > 1$
$x < cot \,\,1$
$\therefore$ domain $(- \infty , cot\,\,1)$

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