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?

Question

Aisha Charles

Mathematics

1 March, 05:17

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?

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Uriah Kemp · 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.