A) \[[4,\infty ]\]
B) \[(-\infty ,6)\]
C) [4, 6]
D) None of these
Correct Answer: C
Solution :
\[f(x)=\log (\sqrt{x-4}+\sqrt{6-x})\] \[\sqrt{x-4}\ge 0,\sqrt{6-x}\ge 0\] \[\Rightarrow \] \[x-4\ge 0,6-x\ge 0\] \[\Rightarrow \] \[x\ge 4,x\le 6\] \[\therefore \]Domain is [4, 6]
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