$\"\"$

\

The function is $\"\"$ .

\

Consider $\"\"$ .

\

Find the inverse function.

\

$\"\"$

\

Interchange the variables $\"image\"$ and $\"image\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Substitute $\"\"$ .

\

The inverse of the function is $\"\"$ .

\

$\"\"$ .

\

$\"image\"$ is it $\"\"$ s own inverse function.

\

$\"\"$

\

Graph:

\

Graph the function: $\"\"$ .

\

$\"\"$ .

\

Observe the graph:

\

The function is symmetrical about the line $\"\"$ .

\

The inverse function is same as the function, therefore the graph of the function must be symmetrical about the line $\"\"$ .

\

The graph is also symmetric over the horizontal asymptote $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

Graph of $\"\"$ :

\

$\"\"$

\

The function is symmetrical about the line $\"\"$ .

\

The graph of the function symmetrical about the line $\"\"$ and the graph is also symmetric over the horizontal asymptote $\"\"$ .