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 ] $ .