Functions Question 663
Question: The domain of $ {{\sin }^{-1}}({\log_3}x) $ is
[Kerala (Engg.) 2005]
Options:
A) [?1, 1]
B) [0, 1]
C) [0, $ \infty $ ]
D) R
E) [1/3, 3]
Show Answer
Answer:
Correct Answer: E
Solution:
$ -1\le {\log_3}x\le 1 $ ; $ {3^{-1}}\le x\le 3 $
Þ $ \frac{1}{3}\le x\le 3 $ \ Domain of function $ =[ \frac{1}{3},,3 ] $ .