Composing functions means that the input of the outer functions is the output of the inner function.
In fact, you can rewrite the circle notation as
So, we can substitute g(x) with its expression:
And since f(x)=x+5, we simply have to add 5 to its input:
Similarly, we have, substituting f with its expression,
And since g(x)=4x+2, we have to multiply the input by 4 and add 2:
The answer is:
In 2036 there will be a population of 32309 rabbits.
<h2>Why?</h2>We can calculate the exponential decay using the following function:
Where,
Start Amount, is the starting value or amount.
Percent, is the decay rate.
t, is the time elapsed.
We are given:
Now, substituting it into the equation, we have:
Hence, we have that in 2036 the population of rabbis will be 32309 rabbits.
Have a nice day!