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 ] $ .
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