\[g(x) = 3 - 8x;\ \ \ \ - 4 \leq x \leq 2.\ \]
\[g( - 4) = 3 - 8 \cdot ( - 4) =\]
\[= 3 + 32 = 35;\]
\[g(2) = 3 - 8 \cdot 2 = 3 - 16 =\]
\[= - 13.\]
\[E(g) = \lbrack - 13;35\rbrack.\]