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