The function is .

A function has an inverse if and only if no horizontal line intersects its graph of the function in at most one point.

The Domain of is .

Observe the graph,

The horizontal line intersects the function more than once, the function is not an one-to-one.

Therefore the inverse of the function doesnot exist.

To find the inverse of the function, restrict the domain such that the function is one-one.

Restricted Domain of is .

The function passes the horizontal line test, the function is an one-to-one in the interval .

Hence the inverse of the function exist in the interval .

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To find the inverse of the function, consider and solve in terms of .

Now interchange and .

Replace .

The inverse of  is .

The inverse of  is in the interval .