The function
is a one-to-one function.
Let us consider points on the graph of
.
Points are
,
,
.
Observe the graph.
\Domain of the function
is
.
Range of the function
is
.
If the function is one-to-one, then range of inverse function is domain of the function and domain of inverse function is range of the function.
\Domain of the inverse function
is
.
Range of the inverse function
is
.
The points are
,
,
.
Graph :
\Graph the inverse function
.
Draw the coordinate plane.
\Plot the points of
and
.
Connect the points using the smooth line.
\.gif\")
Observe the graph :
\The inverse function is the reflection of the function about the line
.
Graph of the inverse function
is
.