The function is
.
Horizontal line test:
\A function
has an inverse
if and only if no horizontal line intersects its graph of the function at most one point.
Graph :
\Graph the function
.
Draw the horizontal line is
.
.gif\")
Observe the graph:
\ The horizontal line
touches the graph of the function more than once.
The function is an not one-to-one, because it does not passes the horizontal line test.
\Therefore the inverse of the function not exist.
\No, the inverse of the function not exist.