From the graph of the function, it can be seen that for different values of x, the resulting value of y = f(x) is the same. The function defines a many to one mapping.
The inverse function of the same is a relation that defines a one-to-many mapping. A function cannot be a many to one mapping. If one value of x gives different values for f(x), it is not possible to determine which of the values should be considered and which of them should not.
As a result the inverse function does not exist.