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.



sathee Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on

Please select your preferred language
कृपया अपनी पसंदीदा भाषा चुनें