Question

What does the equation inverse of the function found in part b represent in the contract of the problem ? explain your answer .

context to question - At a carnaval , you pay $15 for admission plus $3 for each ride that you go on . ​

Answer 1

`f^(-1)(x) =(x)/(3) - 5`

The inverse function is to calculate the number of rides; given the amount paid

Explanation:

Given

`Admission = 15`

`Ride = 3` per ride

Required

Explain the inverse function

First, we calculate the function

Let x represents the number of rides

So:

`f(x) = Admission + Ride * x`

`f(x) = 15 + 3 * x`

`f(x) = 15 + 3x`

For the inverse function, we have:

`y = 15 + 3x`

Swap x and y

`x = 15 + 3y`

Make 3y the subject

`3y = x - 15`

Make y the subject

`y =(x)/(3) - 5`

Replace y with the inverse function

`f^(-1)(x) =(x)/(3) - 5`

The above is to calculate the number of rides; given the amount paid