Final answer:
Yes, f(x) - 2 * 3^x is a function because it assigns a unique output to each input.
Step-by-step explanation:
Yes, f(x) - 2 * 3^x is a function.
A function is a rule that assigns a unique output to each input.
In this case, the function is defined by subtracting 2 * 3^x from f(x).
As long as there is a unique output for every input, the expression represents a function.
For example, if we let x = 1, the expression becomes f(1) - 2 * 3^1, which can be simplified to a specific numerical value.
Therefore, f(x) - 2 * 3^x is a function.