A) \[(-\infty ,\,1]\,-\{0\}\]
B) \[(-\infty ,\,1)\,-\{0\}\]
C) \[(-\infty ,\,\,2)\,\]
D) \[(0,\,-\infty )\,\]
Correct Answer: B
Solution :
Given, function \[f(x)=\frac{1}{{{\log }_{10}}\,(1-x)}\] Here, it should be that \[1-x>0\] \[1>x\] \[\Rightarrow \] \[x<1\] Also, \[x<1\] since, \[f(x)\to \infty \] as \[x\to 0\] \[\therefore \] Domain of f \[f(x)=(-\infty ,\,1)-\{0\}\]You need to login to perform this action.
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