Functions Question 556
Question: The function $ f(x)=\log (x+\sqrt{x^{2}+1}) $ , is
[AIEEE 2003; MP PET 2003; UPSEAT 2003]
Options:
A) An even function
B) An odd function
C) A Periodic function
D) Neither an even nor odd function
Show Answer
Answer:
Correct Answer: B
Solution:
$ f(x)=\log (x+\sqrt{x^{2}+1}) $ and $ f(-x)=-\log (x+\sqrt{x^{2}+1}) $ $ =-f(x) $ $ f(x) $ is odd function.
BETA
