$\"\"$

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 of such that it obeys horizontal line test.

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 $\"\"$ .

$\"\"$

$\"\"$ .

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

$\"\"$

Take square root on each side.

$\"\"$

Now interchange $\"\"$ and $\"\"$ .

$\"\"$

Replace $\"\"$ .

$\"\"$

The inverse of $\"\"$ is $\"\"$ .

$\"\"$

The inverse of $\"\"$ is $\"\"$ in the interval $\"\"$ .