Question

The domain of the function $f\left(x\right)=\sqrt{x-3}+\frac{1}{\sqrt{4-x}}$ is

• A. $[3,4]$
• B. $(3,4]$
• C. $[3,4)$
• D. $(3,4)$

Answer 1

The correct option is C $[3,4)$

Given,

$f\left(x\right)=\sqrt{x-3}+\frac{1}{\sqrt{4-x}}$

$f\left(x\right)$ is defined if $x-3\ge 0$ and $4-x>0$
$\Rightarrow x\in [3,4)$
Hence, option 'C' is correct.