A) \[(-1,0)\cup (1,2)\cup (2,\infty )\]
B) \[(a,2)\]
C) \[(-1,0)\cup (a,2)\]
D) \[(1,2)\cup (2,\infty )\]
Correct Answer: A
Solution :
[a] \[f(x)=\frac{3}{4-{{x}^{2}}}+{{\log }_{10}}({{x}^{3}}-x)\] \[4-{{x}^{2}}\ne 0;\,\,{{x}^{3}}-x>0;\] \[x\ne \pm \sqrt{4}\] and \[-1<x<0\] or \[1<x<\infty \] \[\therefore D=(-1,0)\cup (1,\infty )-\{\sqrt{4}\}\] \[D=(-1,0)\cup (1,2)\cup (2,\infty )\]You need to login to perform this action.
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