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

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 . ​

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Trung Dũng 4 years 2021-08-15T17:16:34+00:00 1 Answers 108 views 0

Answers ( )

  1. kiet
    0
    2021-08-15T17:18:32+00:00
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    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

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