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?

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.

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752