Let $f(x) = |g(x^3)|$. If $g$ is an odd function, is $f$ odd, even, or neither?

Enter "odd", "even", or "neither".
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $f(x) = |g(x^3)|$. If $g$ is an odd function, is $f$ odd, even, or neither?

Enter "odd", "even", or "neither".
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\text{even}
Let $f(x) = |g(x^3)|$. If $g$ is an odd function, is $f$ odd, even, or neither?

Enter "odd", "even", or "neither".
train