Functions Question 275
Question: The domain of $ {{\sin }^{-1}}
[ {\log_3}( \frac{x}{3} ) ] $ is [AIEEE 2002]
Options:
A) [1, 9]
B) [?1, 9]
C) [?9, 1]
D) [?9, ?1]
Show Answer
Answer:
Correct Answer: A
Solution:
$ y={{\sin }^{-1}}[ {\log_3}( \frac{x}{3} ) ] $
Þ $ -1\le {\log_3}( \frac{x}{3} )\le 1 $
Þ $ \frac{1}{3}\le \frac{x}{3}\le 3 $
Þ $ 1\le x\le 9 $
Þ $ x\in [1,,9] $ .
BETA
