Question

The revenue of leisure travel is given by f(x) dollars, where x is the dollar amount spent by the company on advertising. the amount spent by leisure at time t on advertising is given by g(t) dollars. what does the function f ∘ g represent?

Answer 1

Given that f(x) represents the revenue of leisure travel in dollars.

Where x is the dollar amount spent by the company on advertising.

Amount spent by leisure at time t on advertising is given by g(t) dollars.

Now we have to find about what does the composite function (f o g) represent.

By definition of composite function we know that (fog)(t)=f(g(t))

That means t is input of function g(t) and g(t) is input of function f(x)

"t" represents time and g(t) represents amount spent by leisure during advertising.

So when g(t), the amount spent is used as input into f(x) then it will result revenue for time t spent by leisure at time t on advertising.

Hence final answer is, (fog) represents the revenue of leisure travel in dollars for time t on advertising.