Answer:
f(x) = 4(1.095)^x.
Explanation:
The function f(x) = 4(1+0.1/0.5)^0.5x can be simplified using the order of operations, which is PEMDAS (parentheses, exponents, multiplication and division, and addition and subtraction).
First, we can simplify 0.1/0.5 to get 0.2.
Next, we can simplify (1 + 0.2) to get 1.2.
Then, we can simplify (1.2)^0.5 to get approximately 1.095.
Finally, we can multiply 4 by 1.095^x to get the simplified function: