\[y = \sqrt{x + 3} + 2x + 11\]
\[x + 3 \geq 0\]
\[x \geq - 3\]
\[D(y) = x \in \lbrack - 3;\ + \infty).\]
\[y( - 3) = \sqrt{- 3 + 3} + 2 \cdot ( - 3) + 11 =\]
\[= 0 - 6 + 11 = 5.\]
\[E(y) = y \in \lbrack 5; + \infty).\]