R to R/Even and odd/Direct sum/Exercise

Let $V=\mathrm{Map}(ℝ,ℝ)$ be the vector space of all functions from $ℝ$ to $ℝ$. Show that there exists a direct sum decomposition

$V=G\oplus U,$

where $G$ denotes the linear subspace of all even functions, and $U$ denotes the linear subspace of all odd functions.

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