The function will begin to have real output when the input value is 2
The function is given as:
[tex]f(x) = -\sqrt{x - 2} + 2[/tex]
Set the radical greater than or equal to 0
[tex]x - 2 \ge 0[/tex]
Add 2 to both sides
[tex]x \ge 2[/tex]
This represents the domian
Hence, the function will begin to have real output when the input value is 2
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Complete question
At what input value will the function [tex]f(x) = -\sqrt{x - 2} + 2[/tex] begin to have real outputs?