$\"\"$

\

The functions are $\"\"$ and $\"\"$ .

\

(a)

\

A function $\"\"$ is the inverse of the function $\"\"$ if $\"\"$ for each $\"\"$ in the domain of $\"\"$ and $\"\"$ for each $\"\"$ in the domain of $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Since $\"\"$ , the functions $\"\"$ and $\"\"$ are inverse functions.

\

$\"\"$

\

(b)

\

Draw a coordinate plane.

\

Graph the functions $\"\"$ and $\"\"$ .

\

Graph:

\

$\"\"$

\

Observe the graph: $\"\"$ and $\"\"$ have reflective property.

\

And the graphs of the two functions symmetric about the line $\"\"$ .

\

Hence the functions $\"\"$ and $\"\"$ are inverse functions of each other.

\

$\"\"$

\

(a)

\

$\"\"$ .

\

$\"\"$ .

\

(b)

\

Graph the functions $\"\"$ and $\"\"$ .

\

Graph:

\

$\"\"$ .

\

$\"\"$ and $\"\"$ are inverse functions.