$\"\"$

Consider the function $\"\"$ .

The function $\"\"$ is not an one-to-one function because it does not passes the horizontal line test .

The domain of the function $\"\"$ is $\"\"$ .

Hence to find the inverse of such functions, restrict the domain of the function such that it passes horizontal line test.

The function is an one-to-one function in the the domain $\"\"$ , therefore the inverse of the function does exist.

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

$\"\"$

$\"\"$ .

Interchange $\"\"$ and $\"\"$ .

$\"\"$

Replace $\"\"$

$\"\"$ .

The inverse of the function is $\"\"$ in the domain $\"\"$ .

$\"\"$

The inverse of the function $\"\"$ is $\"\"$ in the domain $\"\"$ .