A) \[\left[ 4,6 \right]\]
B) \[\left( 2,6 \right)\]
C) \[\left[ 4,6 \right)\]
D) \[\left( 4,6 \right]\]
Correct Answer: A
Solution :
[a] \[\because f(x)=lo{{g}_{10}}\left( \sqrt{x-4}+\sqrt{6-x} \right)\] For defining the function. Again, \[x-4\ge 0\Rightarrow x\ge 4\] and\[\sqrt{6-x}\ge 0\] \[\Rightarrow 6-x\ge 0\Rightarrow x\le 6\] Hence, domain of\[f=\left[ 4,\infty \right]\cap \left[ -\infty ,6 \right]\] \[=\left[ 4,\text{ }6 \right]\] Hence, option [a] is correct.You need to login to perform this action.
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