Functions Question 512
Question: If $ f(x)={{\sin }^{2}}x $ and the composite function $ g{f(x)}=|\sin x| $ , then the function $ g(x) $ is equal to
[Orissa JEE 2003]
Options:
A) $ \sqrt{x-1} $
B) $ \sqrt{x} $
C) $ \sqrt{x+1} $
D) $ -\sqrt{x} $
Show Answer
Answer:
Correct Answer: B
Solution:
$ (gof)(x)=,|\sin x| $ and $ f(x)={{\sin }^{2}}x $
Þ $ g({{\sin }^{2}}x)=,|\sin x| $ ; \ $ g(x)=\sqrt{x} $ .
BETA
