One type of firework splits 5 times after it is fired into the air. the number of new bursts after each split can be modeled by the function f(x) = 2x where x is the number of times the firework splits. what is the domain of f(x) in this context? all integers all positive integers all positive integers greater than or equal to 5 all positive integers less than or equal to 5

The domain of a function is the group of the values of x that would make the equation true such that conditions arising to the substitution of x to the given equation is still believable.

Since, in this item we are given that the split occurs for 5 times, the domain or the values of x should be all positive integers less than or equal to 5. Hence, the answer is the last choice. 

None of the options you showed are it.