SOLUTION: Please help me with this problem: Let f be the function given by f(x)=ln| {{{(x/(1+x^2))}}} |. a. Find the domain of f. b. Determine whether f is an even function, an odd functi

Question 95645: Please help me with this problem:
Let f be the function given by f(x)=ln| |.
a. Find the domain of f.
b. Determine whether f is an even function, an odd function, or neither.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Let f be the function given by f(x)=ln|(x/(1+x^2))|.
a. Find the domain of f.
x/(1+x^2) must be greater than or equal to zero
x/(1+x^2) >= 0
True if x >+ 0
Domain is "all Real Numbers" greater than or equal to 0
====================================
b. Determine whether f is an even function, an odd function, or neither.
f(x) =ln|(x/(1+x^2))|
f(-x) =ln|-(x/(1+(-x)^2)| = ln|x/(1+x^2)|
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Since f(x) = f(-x), f is even
=============
Cheers,
Stan H.

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