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

Answer:

$f^{-1}(x) =\frac{x}{3} - 5$

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

Step-by-step 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

$y =\frac{x}{3} - 5$

Replace y with the inverse function

$f^{-1}(x) =\frac{x}{3} - 5$

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