The population of a community is given by the function $P(x)=93,120 \sqrt{2 x+1}$. where $x$ is time in years. What is the population after 40 years?

Step 1 ：Given the function for population is \(P(x)=93,120 \sqrt{2 x+1}\), where \(x\) is time in years.

Step 2 ：We are asked to find the population after 40 years, so we substitute \(x\) with 40 in the function.

Step 3 ：So, \(P(40)=93,120 \sqrt{2 \times 40+1}\).

Step 4 ：Calculate the result to find the population after 40 years.

Step 5 ：Final Answer: The population after 40 years is \(\boxed{838080}\).