The functions $f$ and $g$ are defined as follows.
\[
f(x)=-2 x+2 \quad g(x)=-3 x^{3}-2
\]
Find $f(3)$ and $g(-2)$.
Simplify your answers as much as possible.
\[
\begin{array}{l}
f(3)= \\
g(-2)=
\end{array}
\]
Answer
Final Answer: \[\begin{array}{l} f(3)= \boxed{-4} \\ g(-2)= \boxed{22} \end{array}\]
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: \[\begin{array}{l} f(3)= \boxed{-4} \\ g(-2)= \boxed{22} \end{array}\]
