Problem
O Graphs, Functions, and Systems Evaluating functions: Linear and quadratic or cubic The functions $f$ and $g$ are defined as follows. \[ f(x)=-5 x+4 \quad g(x)=2 x^{3}+6 \] Find $f(4)$ and $g(-3)$. Simplify your answers as much as possible. \[ \begin{array}{c} f(4)= \\ g(-3)= \end{array} \]
Solution
Step 1 ：The functions $f$ and $g$ are defined as follows: $f(x)=-5x+4$ and $g(x)=2x^3+6$.
Step 2 ：To find the value of $f(4)$, we substitute $x=4$ into the function $f(x)=-5x+4$.
Step 3 ：After substituting, we get $f(4)=-5(4)+4=-16$.
Step 4 ：To find the value of $g(-3)$, we substitute $x=-3$ into the function $g(x)=2x^3+6$.
Step 5 ：After substituting, we get $g(-3)=2(-3)^3+6=-48$.
Step 6 ：So, the final answers are: \(f(4)=\boxed{-16}\) and \(g(-3)=\boxed{-48}\).
