Step 1:

The function is $\"\"$

Consider $\"\"$

$\"\"$

Interchange the variables $\"\"$ and $\"\"$ .

$\"\"$

Above function is in the form $\"\"$ , where $\"\"$

The inverse function is $\"\"$

$\"\"$

Solve for $\"\"$

Apply logarithm on both sides

$\"\"$

Apply cube root on both sides.

$\"\"$

Thus, the inverse function is $\"\"$ .

Solution:

The inverse function is $\"\"$ .