If \( f(x)=-3 x-3, g(x)=-2 x^{2}+4 x+3 \), and \( h(x)=8 x^{2}+4 \), find \( g(2) \)

To find \( g(2) \), we will substitute \( x = 2 \) into the function \( g(x) = -2x^2 + 4x + 3 \). Calculating \( g(2) \): \[ g(2) = -2(2^2) + 4(2) + 3 \] First, calculate \( 2^2 \) which is \( 4 \): \[ g(2) = -2(4) + 4(2) + 3 \] Now, calculate \( -2(4) \): \[ g(2) = -8 + 8 + 3 \] Next, add them together: \[ g(2) = 0 + 3 = 3 \] Thus, the value of \( g(2) \) is \( \boxed{3} \).