Domain of the function 2 - x - 1 9 - x^2 is - Vidyadip

MCQ

Domain of the function $\sqrt {2 - x} - \frac{1}{{\sqrt {9 - {x^2}} }}$ is

A
$(-3, 1)$
B
$[-3, 1]$
✓
$(-3, 2]$
D
$[-3, 1)$

✓

Answer

Correct option: C.

$(-3, 2]$

c
(c) (i) $x \le 2$ (ii) $\sqrt {9 - {x^2}} > 0\,\, $

$\Rightarrow \,\,|\,\,x\,\,|\, < 3$ or $ - 3 < x < 3.$

Hence domain is $( - \,3,\,\,2].$

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