Question

domain of \[\sin^{-1} [2-4x^2]\] where [...] is greatest interger function

Answer 1

we need to solve \[-1 \le \lfloor 2-4x^2 \rfloor \le 1\]

Answer 2

yes

Answer 3

\[-1 \le 2-4x^2 \lt 2\]

Answer 4

\[\frac{-\sqrt{3}}{2} \le x \lt \frac{\sqrt{3}}{2}\]

\(x \ne 0\)

Answer 5

see if that looks okay ^