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Suppose $f(x)$ is a function defined for all real numbers. We say the number $a$ is a fixed point of $f(x)$ if, and only if

A

$bf(a) = f(ab)$.

B

$f(a) = a$.

C

$f'(a) = 0$.

D

For all $x: f(x + a) = f(x)$.

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