Domain of the function f(x) = 2 - ^ - 1 x is - Vidyadip

MCQ

Domain of the function $f(x) = \sqrt {2 - {{\sec }^{ - 1}}x} $ is

A
$\left( { - \infty , - 1} \right] \cup \left[ {1,\infty } \right)$
B
$\left( { - \infty , - 1} \right] \cup \left[ {\sec 1,\infty } \right)$
✓
$\left( { - \infty ,\sec 2} \right] \cup \left[ {1,\infty } \right)$
D
$\left( { - \infty ,\sec 2} \right] \cup \left[ {\sec 1,\infty } \right)$

✓

Answer

Correct option: C.

$\left( { - \infty ,\sec 2} \right] \cup \left[ {1,\infty } \right)$

c

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