Relate a function's domain to its equation, graph, and context, especially when model choice matters.
Find the domain of a square root function by requiring the radicand to be nonnegative
Problem
What is the domain of \(f(x)=\sqrt{x-5}\)?
Big Picture
What this problem is really about
The defining restriction for a real square root belongs to the entire radicand: it may be zero or positive, but not negative. Turn that condition into an inequality and solve it before writing interval notation. Because zero has a real square root, check the boundary carefully so the endpoint receives the correct bracket.
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