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A fixed point of a function is a point that remains unchanged after applying the function once. In the video's notation, if $x$ is a fixed point of $f$, then applying $f$ to $x$ returns $x$ itself.

Conditions: $f$ is a function under consideration.; $x$ is a point in the domain where $f(x)$ is defined.

A fixed point of a function is a point that remains unchanged after applying the function once. In the video's notation, if $x$ is a fixed point of $f$, then applying $f$ to $x$ returns $x$ itself.

Conditions: $f$ is a function under consideration.; $x$ is a point in the domain where $f(x)$ is defined.