" Domain of "sin2x

The domain of 2 sin x cos x is

Domain of sin x + sin^(-1)x is

Domain of sin8x is

If domain of f(x) be (-1, 2), then (1) domain of f(sin x) will be (-oo, oo) (2) domain of f(ln x) will be (1/e, e^2) (3) domain of f(2x-3) will be (1,5/2) (4) domain of f([x]) will be [0, 2), where [x]<=x

If domain of f(x) be (-1,2), then (1) domain of f(sin x) will be (-oo,oo)(2) domain of f(ln x) will be ((1)/(e),e^(2))(3) domain of f(2x-3) will be (1,5/2)(4) domain of f([x]) will be [0,2), where [x]<=x

The domain of sin^(-1)2x is

The domain of sin^(-1) 2x is

Find the domain of sin^(-1)(2x)