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\,\, $
(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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