Answer: the largest possible set of real numbers that can be the domain of the function f(x) = √(1 - 1/x) is [1, +∞), excluding 0.
Explanation:
Step 1: Look at the expression inside the square root: 1 - 1/x.
Step 2: The square root of a number can only be taken when the number inside is non-negative (greater than or equal to zero).
Step 3: In this case, for the expression 1 - 1/x to be non-negative, 1/x must be less than or equal to 1.
Step 4: If x is positive (excluding zero), then 1/x will be positive. Thus, the expression 1/x can only be less than or equal to 1 when x is greater than or equal to 1.
Step 5: Therefore, the largest possible set of real numbers that can be the domain of the function f(x) = √(1 - 1/x) is [1, +∞), excluding 0. This means that any real number greater than or equal to 1 (excluding 0) can be plugged into the function to obtain a real result.