Answer
The graph is shown below.
Work Step by Step
$f\left( x \right)={{3}^{x}}$and ${{f}^{-1}}\left( x \right)={{\log }_{3}}x$
Substitute $x=0$ in$f\left( x \right)={{3}^{x}}$:
$\begin{align}
& f\left( 0 \right)={{3}^{0}} \\
& =1
\end{align}$
Substitute $x=1$ in$f\left( x \right)={{3}^{x}}$:
$\begin{align}
& f\left( 0 \right)={{3}^{1}} \\
& =3
\end{align}$
Substitute $x=2$ in$f\left( x \right)={{3}^{x}}$:
$\begin{align}
& f\left( 0 \right)={{3}^{2}} \\
& =9
\end{align}$
Substitute $x=-1$ in$f\left( x \right)={{3}^{x}}$:
$\begin{align}
& f\left( 0 \right)={{3}^{-1}} \\
& =\frac{1}{3}
\end{align}$
Substitute $x=-2$ in$f\left( x \right)={{3}^{x}}$:
$\begin{align}
& f\left( 0 \right)={{3}^{-2}} \\
& =\frac{1}{9}
\end{align}$
$\begin{matrix}
x & f\left( x \right) \\
0 & 1 \\
1 & 3 \\
2 & 9 \\
-1 & \frac{1}{3} \\
-2 & \frac{1}{9} \\
\end{matrix}$
Consider the second function,
${{f}^{-1}}\left( x \right)={{\log }_{3}}x$
Assume, ${{f}^{-1}}\left( x \right)=y$
The function $y={{\log }_{3}}x$ can be written as ${{3}^{y}}=x$.
Substitute $y=0$ in $x={{3}^{y}}$:
$\begin{align}
& x={{3}^{0}} \\
& =1
\end{align}$
Substitute $y=1$ in $x={{3}^{y}}$:
$\begin{align}
& x={{3}^{1}} \\
& =3
\end{align}$
Substitute $y=2$ in $x={{3}^{y}}$:
$\begin{align}
& x={{3}^{2}} \\
& =9
\end{align}$
Substitute $y=-1$ in $x={{3}^{y}}$:
$\begin{align}
& x={{3}^{-1}} \\
& =\frac{1}{3}
\end{align}$
Substitute $y=-2$ in $x={{3}^{y}}$:
$\begin{align}
& x={{3}^{-2}} \\
& =\frac{1}{9}
\end{align}$
$\begin{matrix}
{{f}^{-1}}\left( x \right) & y \\
1 & 0 \\
3 & 1 \\
9 & 2 \\
\frac{1}{3} & -1 \\
\frac{1}{9} & -2 \\
\end{matrix}$
Now, draw the graph of the functions $f\left( x \right)={{3}^{x}}$ and ${{f}^{-1}}\left( x \right)={{\log }_{3}}x$.