What is the smallest real number x in the domain of the function g(x) = sqrt((x + 3)^2 - (x - 8)^2)?
+98 We notice the value under the square root must be positive to be in the domain. So we have $(x+3)^2-(x-8)^2\geq0$. We see that after simplifying, $22x-55\geq0$, where the minimum of $x$ is then $2.5$. Clearly, the smallest $x$ in the domain is $2.5$.
+98 We notice the value under the square root must be positive to be in the domain. So we have $(x+3)^2-(x-8)^2\geq0$. We see that after simplifying, $22x-55\geq0$, where the minimum of $x$ is then $2.5$. Clearly, the smallest $x$ in the domain is $2.5$.
