Pedro has created the function f(x) = the quantity of 4x minus 3, divided by 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

Find  when he will have 30 assignments completed for the inverse function.

To prove

As given

Pedro has created the function.

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.

Now find the inverse of the function f(x) .

Now change the y variable into x. (Because this is inverse function of f(x)).

Thus

Thus this is the inverse function of f(x).

Put x = 30

In mixed fraction form

Let

x-------> the number of weeks in the course

f(x)------> the number of assignments that Pedro has completed

we know that

Step

Find the inverse function of f(x)

Let

y=f(x)

exchange the variables x for y and  y for x

Clear variable y

Let

------> this is the inverse function

where

x ------> the number of assignments that Pedro has completed

f(x)^{-1}------> the number of weeks in the course

Solve for

substitute

therefore

the answer is

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: