Answer:
![f(x) =\sqrt[3]{x}](https://img.qammunity.org/2021/formulas/mathematics/high-school/lzboz347nz3231cu21zm2w07lgieh4th6k.png)
Explanation:
Hello!
Considering the parent function, as the most simple function that preserves the definition. Let's take the function given:
![g(x) = \sqrt[3]{x-5}+7](https://img.qammunity.org/2021/formulas/mathematics/high-school/2n62gvo0kjm5hv69i3ksgydpxvwhb78x98.png)
To have the the parent function, we must find the parent one, let's call it by f(x).
![f(x) =\sqrt[3]{x}](https://img.qammunity.org/2021/formulas/mathematics/high-school/lzboz347nz3231cu21zm2w07lgieh4th6k.png)
This function satisfies the Domain of the given one, because the Domain is still
and the range as well.
Check below a graphical approach of those. The upper one is g(x) and the lower f(x), its parent one.