3 years ago

Simplifying rational expressions

Mathematics

1 answer:

garik1379 [7]3 years ago

4 0

(x+5)/(x+10) is the answer.

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

gavmur [86]

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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3 years ago