A) \[(-1,0)\cup (1,2)\cup (2,\infty )\]
B) \[(0,2)\]
C) \[(-1,0)\cup (0,2)\]
D) \[(1,2)\cup (2,\infty )\]
Correct Answer: A
Solution :
| \[f(x)=\frac{3}{4-{{x}^{2}}}+{{\log }_{10}}({{x}^{3}}-x)\] |
| \[4-{{x}^{2}}\ne 0;\] \[{{x}^{3}}-x>0;\] |
| \[x\ne \pm \sqrt{4}\] and \[-1<x<0\] or \[1<x<\infty \] |
 |
| \[\therefore \,\,\,D=(-1,0)\cup (1,\infty )-\left\{ \sqrt{4} \right\}\] |
| \[D=(-1,0)\cup (1,2)\cup (2,\infty )\] |
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