Let $e(x)$ be an even function and let $o(x)$ be an odd function, such that
\[e(x) + x^2 = o(x)\]for all $x.$  Let $f(x) = e(x) + o(x).$  Find $f(2).$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $e(x)$ be an even function and let $o(x)$ be an odd function, such that
\[e(x) + x^2 = o(x)\]for all $x.$  Let $f(x) = e(x) + o(x).$  Find $f(2).$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-4
Let $e(x)$ be an even function and let $o(x)$ be an odd function, such that
\[e(x) + x^2 = o(x)\]for all $x.$  Let $f(x) = e(x) + o(x).$  Find $f(2).$
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