$\"\"$

The function is $\"\"$ and $\"\"$ .

The function is continuous in the interval $\"\"$ .

$\"\"$ is continous at all points in the domain.

$\"\"$ .

Differentiate on each side with respect to $\"\"$ .

$\"\"$ .

Derivative of $\"\"$ is $\"\"$ , which is negitive in the interval $\"\"$ .

$\"\"$

Setup the equation in order to solve the $\"\"$ value of the original point which equals the $\"\"$ value at the inverse point.

Substitute $\"\"$ in $\"\"$ .

$\"\"$

Any number divided by $\"\"$ is undefined.

So the function is not a one to one function and not monotonic.

Hence the function $\"\"$ has no inverse.

$\"\"$

The function $\"\"$ has no inverse.