Find the domain of the function :`f(x)=3/(4-x^2)+(log)_(10)(x^3-x)` – InterviewSolution

1.	Find the domain of the function :`f(x)=3/(4-x^2)+(log)_(10)(x^3-x)`
Answer» Correct Answer - `(-1,0) cup (1,2) cup (2,oo)` `f(x)=(1)/(4-x^(2))+log_(10)(x^(3)-x)` `f` is defined when `x ne +-2 " and " x^(3) -x gt 0` or `x ne +-2 " and "x(x^(2)-1) gt 0` or `x ne +-2, x in (-1,0) cup (1,oo)` or `x in (-1,0) cup (1,2) cup (2,oo)`

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