$\"\"$

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

$\"\"$

Apply derivative on each side with respect to $\"\"$ .

$\"\"$

Apply formula: $\"\"$ .

$\"\"$ on $\"\"$ .

Since the derivative is always negative on $\"\"$ , $\"\"$ is decreasing.

Thus, the function $\"\"$ has an inverse on this interval.

$\"\"$ is strictly monotonic and it has an inverse function.

$\"\"$

$\"\"$ is strictly monotonic and it have an inverse function.