Question

Pedro has created the function f(x) = the quantity of 4x-3 over 2 to represent the number of assignments he has completed, where x represents the number of weeks in the course. Pedro discovers that, using the inverse function to solve for x = 30, he can predict when he will have 30 assignments completed. Explain to Pedro how to accomplish this, using complete sentences.

Answer 1

In the given function, if you enter a number for x, the number of weeks so far in the course, function f gives you the number of assignments completed.
In the inverse function, let's call it g, if you enter the the number of assignments completed as x, function g will give you how many weeks of the course have passed.

Answer 2

The above is the idea behind an inverse function.
Now you need to actually find the inverse function, and enter 30 for x (number of assignments) to find how many weeks have passed.

Answer 3

To find an inverse function follow these steps:
1. Start with function f(x) and write the function.
2. Replace f(x) with y.
3. Switch x and y.
4. Solve for y.
5. Replace y with \(f^{-1}(x)\).
6. \(f^{-1}(x)\) is the inverse function of f(x).

Answer 4

What you need to do now is to follow the steps above and find the inverse function. That is the first thing to do.
Then using the inverse function, enter 30 for x and calculate the value of the inverse function at x = 0. That is how many weeks it will take to complete 30 assignments.

Answer 5

how do i solve for y if the function is over 2