Step 1 :We are given two functions, \(f(x)\) and \(g(x)\), and we are asked to find the values of these functions at specific points. To find \(f(3)\), we substitute \(x=3\) into the function \(f(x)\). Similarly, to find \(g(-2)\), we substitute \(x=-2\) into the function \(g(x)\).
Step 2 :Substitute \(x=3\) into \(f(x)=-2x+2\) to get \(f(3)=-2*3+2=-4\).
Step 3 :Substitute \(x=-2\) into \(g(x)=-3x^3-2\) to get \(g(-2)=-3*(-2)^3-2=22\).
Step 4 :Final Answer: \[\begin{array}{l} f(3)= \boxed{-4} \\ g(-2)= \boxed{22} \end{array}\]