Question

The domain of the function
\[ f(x) = \sin^{-1} \!\left( \log_2 \left( \frac{1}{2} x^2 \right) \right) \]
is

• A. \([-2,-1)\cup[1,2]\)
• B. \((-2,-1]\cup[1,2)\)
• C. \([-2,-1]\cup[1,2]\)
• D. (-2,-1)∪(1,2)

Hint:

Always check both logarithmic and inverse–trigonometric restrictions.

Answer 1

The Correct Option is A