Final answer:
The basic function equivalent to f(x)=(x+7)³ is f(x) = x³, as it represents the cubic function without any transformations such as shifts.
Step-by-step explanation:
The question 'f(x)=(x+7)³ find the most basic function' refers to identifying the simplest form of the function provided. The basic function here would be f(x) = x³. This is because the given function is a cubic function that has been shifted 7 units to the left. In other words, if you remove the horizontal shift, you are left with the original cubic function, which is more basic or simpler in form.