The rabbit population, y, in hundreds of rabbits, in an area x years since 1990 can be determined using this function: y = -0.1x
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Answer: g(f(0)) = 2 and (f ° g)(2) = -3.
Step-by-step explanation: We are given the following two functions in the form of ordered pairs :
f = {(-2, 3), (-1, 1), (0, 0), (1,-1), (2,-3)}
g = {(-3, 1), (-1, -2), (0, 2), (2, 2), (3, 1)} .
We are to find g(f(0)) and (f ° g)(2).
We know that, for any two functions p(x) and q(x), the composition of functions is defined as
From the given information, we note that
f(0) = 0, g(0) = 2, g(2) = 2 and f(2) = -3.
So, we get
Thus, g(f(0)) = 2 and (f ° g)(2) = -3.
<h2>Answer with explanation:</h2>
The function represents the area of a circle(A) is given by :-
To determine the area of a circle whose radius is 11 inches. , we put the value of r=11 inches, we get
Now, we put in the above function , we get