The functions \( f \) and \( g \) are defined as follows, \[ f(x)=-4 x+2 \quad g(x)=3 x^{2}-3 x \] Find \( f(6) \) and \( g(-3) \), Simplify your answers as much as possible, \( f(6)=\square \)

To find \( f(6) \), we substitute \( 6 \) into the function \( f(x) \): \[ f(6) = -4(6) + 2 = -24 + 2 = -22 \] So, \( f(6) = -22 \). Now for \( g(-3) \), we substitute \( -3 \) into the function \( g(x) \): \[ g(-3) = 3(-3)^{2} - 3(-3) = 3(9) + 9 = 27 + 9 = 36 \] Thus, \( g(-3) = 36 \). So the final answers are: \( f(6) = -22 \) and \( g(-3) = 36 \).