Find the domain of sin⁻¹(2−3x²)

Sketch the graph of y = sin\((\frac{1}{3}x)\) for 0\(\le x <6\pi\).

Find the domain of the following
 \(f\left( x \right) { =sin }^{ -1 }\left( \frac { { x }^{ 2 }+1 }{ 2x } \right) \)

Find the domain of cos^-1\((\frac{2+sinx}{3})\)

Find the domain of f(x) = sin^-1 \((\frac{|x|-2}{3})+ \) cos^-1 \((\frac{1-|x|}{4})\)