Find the Domain of \(f(x)=\sqrt{x-2}\)

Solution

Given: $$ f(x)=\sqrt{x-2} $$

For a square root function, the expression inside the root must be non-negative.

Therefore, $$ x-2\ge0 $$

$$ x\ge2 $$

Hence, the domain is: $$ [2,\infty) $$