Final answer:
The number of bacteria in the culture after 3 hours is 40.
Step-by-step explanation:
The function f(x) = 5(2)^x represents the number of bacteria, f(x), growing in a culture after x hours. To find the number of bacteria in the culture after 3 hours, substitute x = 3 into the function:
f(3) = 5(2)^3 = 5(8) = 40
Therefore, there are 40 bacteria in the culture after 3 hours.