$\"\"$

The function is $\"\"$ , $\"\"$ .

The domain of a function is all values of $\"\"$ and $\"\"$ is never be negative number.

$\"\"$

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

The range of function is $\"\"$ .

The function is increasing on entire its domain.

The function is $\"\"$ .

Diffrentiate with respective to $\"\"$ .

$\"\"$ .

Diffrentiate using the chain rule which states that $\"\"$ .

$\"\"$

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

The derivative of the function does not change its sign in the domain of the function.

So the function is one-to-one function and strictly monotonic.

$\"\"$

Find the inverse of the function.

$\"\"$

Add $\"\"$ to each side.

$\"\"$

The function $\"\"$ is one-to-one function and strictly monotonic.

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