The domain of the function f(x) = (x - 4 + 6 - x ) is - Vidyadip

MCQ

The domain of the function $f(x) = \log (\sqrt {x - 4} + \sqrt {6 - x} )$ is

A
$[4,\infty )$
B
$( - \infty ,\;6]$
✓
$[4,\;6]$
D
None of these

✓

Answer

Correct option: C.

$[4,\;6]$

c
(c) $f(x) = \log (\sqrt {x - 4} + \sqrt {6 - x} )$

==> $y = {x^x}\, \Rightarrow \,\,\,\log y = x\log x$ and $6 - x \ge 0$==>$x \ge 4$ and $x \le 6$

$\therefore $ Domain of $f(x)$ = $[4,\,\,6]$.

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