State the domain of the given function. \( f(x)=\sqrt{x+6} \)

For the function \( f(x) = \sqrt{x+6} \) to be defined, the expression inside the square root must be non-negative. This means we need \( x + 6 \geq 0 \). Solving this inequality gives us \( x \geq -6 \). Therefore, the domain of the function is all real numbers \( x \) such that \( x \) is greater than or equal to \(-6\). In interval notation, this is written as \([-6, \infty)\). So grab your math gear and get ready to explore functions, because knowing how to find a domain is like having a treasure map for your mathematical adventures!