Chapter 6 Rational Exponents and Radical Functions - 6.4 Use Inverse Functions - 6.4 Exercises - Skill Practice - Page 443: 24

$$y=\sqrt[6]{-\frac{x}{10}},\:y=-\sqrt[6]{-\frac{x}{10}}$$

Switching the elements of the domain and the range (in other words, the dependent and independent variables), we find that the inverse is: $$x=-10y^6 \\ y=\sqrt[6]{-\frac{x}{10}},\:y=-\sqrt[6]{-\frac{x}{10}}$$