Q. The domain of the function $f(x) = \log_{10}{(\sqrt{x - 4} + \sqrt{6 - x})}$ is
A) [4, 6]
B) $( - \infty,\ 6)$
C) [2, 3)
D) None of these
Explanation
(a)
For $f(x)$ to be defined,
$x - 4 \geq 0$ and $6 - x \geq 0\ \ \ \Rightarrow \ \ \ x \geq 4$ and $x \leq 6$
Therefore, the domain is [4, 6].
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.