Answer:
The differential equation is
Step-by-step explanation:
From the question we are told that
The number of students are
The number of student that have contracted the flu is x(t)
The number of student that don't have the flu is mathematically represented as
The rate at which the disease spread is proportional to the number of interactions between students with the flu and students who have not yet contracted it, which can be mathematically represented as
=>
Answer:
2
Step-by-step explanation:
So to figure this out we just need to flip the values of x and y in the table and then redefine that as the function g(x), because an inverse is essentially the reverse!
So if we flipped x and y's for f(x). We would see that our output or y of g(x) is -3 when x = 2, or in other words g(2) = -3. This means that we are now going to solve for when f(-3). So now lets look at the table and find the value at x = -3 for f(x). This value is 2, so the value of f(g(2)) = 2.
*In the future*
When you have a composite function of two inverses they essentially cancel out and would leave whatever the value of x is. So if we know f(x) and g(x) were inverses the value of f(g(2)) would just be 2.
For example:
ln(x) and e^x are inverses so if I had a composition like this:
The answer to this would be 2 because these inverse functions "'cancel" out
So