MCQ
The domain of the function $f(x) = \frac{{{{\sin }^{ - 1}}(x - 3)}}{{\sqrt {9 - {x^2}} }}$ is
- A$[1, 2)$
- ✓$[2, 3)$
- C$[1, 2]$
- D$[2, 3]$
✓
Answer
Correct option: B.
$[2, 3)$
b
(b) To define $f(x)$,
(b) To define $f(x)$,
$9 - {x^2} > 3 \Rightarrow - 3 < x < 3.....(i)$
$ - 1 \le (x - 3) \le 1 \Rightarrow 2 \le x \le 4.....(ii)$
From $(i)$ and $(ii)$, $2 \le x < 3$ $i.e.,\,\, [2, 3).$
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