Functions Question 632
Question: The domain of the function $ f(x)=\frac{{{\sin }^{-1}}(x-3)}{\sqrt{9-x^{2}}} $ is
[AIEEE 2004]
Options:
A) [1, 2)
B) [2, 3)
C) [1, 2]
D) [2, 3]
Show Answer
Answer:
Correct Answer: B
Solution:
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).
BETA
