Perform the indicated operations. \[ \begin{array}{l} g(a)=2 a+2 \\ h(a)=a^{3}-3 a \\ \text { Find }(2 g-3 h)(-3) \end{array} \] A) -24 B) 46 C) -136 D) 12

Step 1 ：Find the expressions for 2g(a) and 3h(a):

Step 2 ：\(2g(a) = 2(2a + 2) = 4a + 4\)

Step 3 ：\(3h(a) = 3(a^3 - 3a) = 3a^3 - 9a\)

Step 4 ：Subtract 3h(a) from 2g(a):

Step 5 ：\((2g - 3h)(a) = (4a + 4) - (3a^3 - 9a) = -3a^3 + 13a + 4\)

Step 6 ：Evaluate the expression at a = -3:

Step 7 ：\((-3(-3)^3 + 13(-3) + 4) = (-3(27) - 39 + 4) = (-81 - 39 + 4)\)

Step 8 ：\boxed{46}\)