Final answer:
The value of the function f(x) = 3 · 25^x when x is 1/2 is 15, calculated by substituting the value 1/2 into the function, resulting in the square root of 25 multiplied by 3.
Step-by-step explanation:
To find the value of the exponential function f(x) = 3 · 25^x when x is 1/2, we substitute x with 1/2 in the function:
f(1/2) = 3 · 25^(1/2)
The exponent 1/2 represents the square root, so we take the square root of 25, which is 5, and then multiply by 3:
f(1/2) = 3 · 5
Therefore, f(1/2) = 15.