What is the domain of the graph of the function \(f(x)=\sqrt{x+5}\)?

Correct answer: \([-5,\infty)\)

For a real square root, the expression inside the radical cannot be negative. Hence \(x+5\geq 0\), so \(x\geq -5\). Therefore, the domain is \([-5,\infty)\). Option B excludes \(-5\), but \(f(-5)=\sqrt{0}=0\) is defined. Exam tip: For a square-root function, set the radicand greater than or equal to zero to determine its domain.