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".
Question:
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".
Answer:
Let's think step by step.

user
\text{odd}
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".
train