Find the domain of function `f(x)=3/(sqrt(4-x^(2)))log(x^(3)-x)`

Explanation

Domain of `sqrt(4-x^(2))` is `[2,2]` but `sqrt(4-x^(2))=0` for `x=+-2impliesxepsilon(-2,2)`
`log(x^(3)-x)` is defined for `x^(3)-xgt0` i.e. `x(x-1)(x+1)gt0`.
`:.` domain of `log(x^(3)-x)` is `(-1,0)uu(1,oo)`.
Hence the domain of the given function is `{(-1,0)uu(1,oo)}nn(-2,2)-=(-1,0)uu(1,2)`.