A) \[[4,\,\,\infty )\]
B) \[(\infty ,\,\,6]\]
C) [4, 6]
D) None of these
Correct Answer: C
Solution :
\[\operatorname{f}(x)=log\,\left( \sqrt{x\,-4}+\sqrt{6-x} \right)\] \[\Rightarrow \,\,x-4\ge 0\,\,and\,\,6-x\ge 0\,\,\Rightarrow \,\,x\ge 4\,\,and\,\,x\le 6\] \[\therefore \,\,Domain of\,\,f(x) = \left[ 4,\,\,6 \right].\]You need to login to perform this action.
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