Mr. Dawson owns multiple fish breeding farms. The number of fish breeding farms is represented by the function f (x) = 5. The approximate number of fish per breeding farm can be represented by the function g (x) = 80 (1.04) x, where x represents the number of months. Which function best describes h, the approximate population of the fish across all Mr. Dawson's farms after x months?

For this case what we must do is define h (x), which is given by:

h (x) = f (x) * g (x)

Where,

f (x) = 5 (The number of fish breeding farms)

g (x) = 80 (1.04) ^ x (The approximate number of fish per breeding farm)

Substituting we have:

h (x) = (5) * (80 (1.04) ^ x)

Rewriting we have:

h (x) = 400 (1.04) ^ x

Answer:

the approximate population of the fish across all Mr. Dawson's farms after x months is:

h (x) = 400 (1.04) ^ x