Functions Question 484
Question: Domain of the function $ \sqrt{2-x}-\frac{1}{\sqrt{9-x^{2}}} $ is
Options:
A) (?3, 1)
B) [?3, 1]
C) (?3, 2]
D) [?3, 1)
Show Answer
Answer:
Correct Answer: C
Solution:
(i) $ x\le 2 $ (ii) $ \sqrt{9-x^{2}}>0\Rightarrow |x|,<3 $ or $ -3<x<3. $ Hence domain is $ (-,3,2]. $