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Homework Statement
Determine function
$$f(x) = \log(\sqrt{x^2+1}+x)$$
Is odd or even.
Homework Equations
##\log(a+b) = \log(a) + \log(1+b/a)##
The Attempt at a Solution
First I thought it is a even function without considering the x at the end, which of course isn't the actual case.
Then I tried to use the formula above but still failed to determine it.
Maybe the formula works just that I can't see the point.
Are there any insights to how should I determine it?I am new to functions properties. Thanks!
Edit:I plot the function in a function drawer and found it to be an odd one, which cause I still don't know how to do it, the question remains.