How did (2,4) become a point in the graph of f(x)=(x^2-4)/(x-2)?

How did (2,4) become a point in the graph of f(x)=(x^2-4)/(x-2)?

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Strictly speaking (2,4) is not part of f(x) as defined.
f(x)= x+2, for x \(\ne\) 2

*IF this is...

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