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Find the domain of the function : f(x)=3...

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

Text Solution

Verified by Experts

The correct Answer is:
`(-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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