\[y = 4\sqrt{3x - 6} + 2x^{2} + 4x - 5\]
\[3x - 6 \geq 0\]
\[3x \geq 6\]
\[x \geq 2.\]
\[D(y) = \lbrack 2; + \infty).\]
\[Так\ как\ функции\ возрастают,\ то:\]
\[y(2) = 4 \cdot 0 + 2 \cdot 4 + 4 \cdot 2 - 5 = 11.\]
\[E(y) = \lbrack 11;\ + \infty).\]