[tex] \text{Consider the function}\\ \\ f(x)=\sqrt{7+x}\\ \\ \text{Since it is a radical function, so the term inside the radical must be positive}\\ \\ \text{so to find the domain of the function, we will solve the inequality,}\\ \\ 7+x\geq 0\\ \\ \Rightarrow x\geq -7\\ \\ \text{hence the domain of the function is all real number greater than }x=-7.\\ \\ \text{or the domain of the function is:}\\ \\ x\geq -7 [/tex]
