Answer:
= 100
Step-by-step explanation:
The number of visitors is modeled by the expression 
Where m is the number of months after the number of visitors was measured.
We need to evaluate the above expression for m = -2.
So,

At m = -2, the value of the above expression is equal to 100.
The first thing we are going to do to find (g°f)(3), is find (g°f)(x). To do that, we are going to evaluate g(x) at f(x):
(g°f)(x)=

Now, we can evaluate (g°f) at 3:




We can conclude that the correct answer is
c. 49
For this case, the first thing we must do is define a variable.
We have then:
x: number of weeks
y: amount of cereal that Melanie eats
We now write the function that models the problem:

Then, for 5 weeks we have:
Answer:
A model that best represents the number of pounds of cereal she eats is:
For 5 weeks we have:
For a given function f(x) we define the domain restrictions as values of x that we can not use in our function. Also, for a function f(x) we define the inverse g(x) as a function such that:
g(f(x)) = x = f(g(x))
<u>The restriction is:</u>
x ≠ 4
<u>The inverse is:</u>

Here our function is:

We know that we can not divide by zero, so the only restriction in this function will be the one that makes the denominator equal to zero.
(x - 4)^2 = 0
x - 4 = 0
x = 4
So the only value of x that we need to remove from the domain is x = 4.
To find the inverse we try with the general form:

Evaluating this in our function we get:

Remember that the thing above must be equal to x, so we get:

From the two above equations we find:
b = 11
a = 4
Thus the inverse equation is:

If you want to learn more, you can read:
brainly.com/question/10300045