Operations on Functions

\def\arraystretch{2}
\begin{tabular}{l|c|c}

\textbf{Operation}         & \textbf{Definition}                 & \textbf{Example} \\ \hline
Addition         & [f+g](x) = f(x)+g(x)    & 2x + (x+5) \\ \hline
Subtraction     & [f-g](x) = f(x)-g(x)    & 2x - (x+5) \\ \hline
Multiplication     & [f \cdot g](x) = f(x) \cdot g(x)     & 2x \cdot (x+5) \\ \hline
Division         & [f \div g](x) = \frac{f(x)}{g(x)}     & \frac{2x}{x+5} \\

\end{tabular}

\textbf{Example:} f(x)=3x+4 and g(x)=5x-8 calculate the following…

  1. [f+g](x)=
  2. [f-g](x)=
  3. [g-f](x)=
  4. [f \cdot g](x)=
  5. [f\div g](x)=