For the function $q(x)=10 \cdot \sqrt[5]{x-2}$, what is the inverse function?
A$q^{-1}(x)=\sqrt[5]{\frac{x}{10}}+2$
B$q^{-1}(x)=\sqrt[5]{\frac{x}{10}}-2$
C$q^{-1}(x)=\left(\frac{x}{10}\right)^5+2$
D$q^{-1}(x)=\left(\frac{x}{10}\right)^5-2$
A$q^{-1}(x)=\sqrt[5]{\frac{x}{10}}+2$
B$q^{-1}(x)=\sqrt[5]{\frac{x}{10}}-2$
C$q^{-1}(x)=\left(\frac{x}{10}\right)^5+2$
D$q^{-1}(x)=\left(\frac{x}{10}\right)^5-2$