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Function Product Type

Let $ f(x) $ be an even function, and let $ g(x) $ be an odd function. Is $ f(x) g(x) $ even, odd, or neither? Enter "odd", "even", or "neither".

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$\frac{a}{b}$
.
0
=
%

$a^n$
$a^{\circ}$
$a_n$
$\sqrt{}$
$\sqrt[n]{}$
$\pi$
$\ln{}$
$\log$
$\theta$
$\sin{}$
$\cos{}$
$\tan{}$

$($
$)$
$[$
$]$
$\cap$
$\cup$
$,$
$\infty$