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\[\frac{ \sqrt{x+4} }{ \sqrt{1-x} }\]
first it to be valid denominator should not be zero
2nd value inside root should be greater than or equal to zero
\[denominator \neq 0 \] implies \[1-x \neq0\]
\[x \neq1\]
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\(\large{1-x>0}\) I would have said this.
second 1-x>0 1>x and also 4+x>=0 x>=-4 take common part
[-4,1)
i think it would be C.
@g17
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