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]. $