Answer :
Final answer:
The functions f(x) = x² and g(s) = s² are essentially the same because they perform the same operation on their input, despite using different variable names (x and s).
Explanation:
The question asked is whether the functions f and g are the same or different, given that f(x) = x² and g(s) = s². These functions are essentially the same in their operational structure, meaning they both square their input. However, the difference lies in the notation of the independent variable: x for f and s for g. This does not change the mathematical behavior or the outcome of the functions, making their functional forms identical when considering the operation performed on their inputs.
Thus, f and g are the same function in terms of how they operate (both square their respective input), but they are presented with different variable notations.