Final answer:
The exact operation of α on function f(x) and how it applies to the list {1, 2, 3, 4, 5} is unclear due to possible typos in the provided function. If α denotes applying the function to each element in the list, we need the exact definition of f(x) to provide a step-by-step solution.
Step-by-step explanation:
The question seems to have a typo in the function definition. However, if we assume that the function f(x) is defined properly and the students needs to apply a transformation α to f and a list of numbers 1, 2, 3, 4, 5, we would need the specific operation that α represents to proceed with showing the work.
Without the exact definition of α or the corrected form of f(x), it's difficult to provide a precise step-by-step answer. Nonetheless, in general, applying a transformation to a function involves using the function's rule on the numbers provided. Assuming α denotes applying the function, we take each element from the list {1, 2, 3, 4, 5} and substitute it into the function f to get the resultant list.