Functions problem

[sharp salmon]

The domain was no problem but when I try to find the range the answer is R \ {4}, where are they getting 4? I checked the graph and it shows (2,4) is a valid point. How is it a valid point if inputting 2 results on 0/0 which is invalid?

[lusty fog]

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[plucky leaf]

To my understanding, they seem to exclude 2 from the domain

although f can be extended by continuity, it is inherently not defined at 2

hence there is some sort of gap in your graph that is covered by continuous extension

[queen spindle]

the graph runs through the point, but is not defined at the point. The key is that it is not continuous at (2,4)

i will send a screenshot to show what i mean