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Question:

The function f(x)=250x models the maximum number of songs that can be stored on an MP3 player with a capacity of x gigabytes. Find the inverse function f-1(x), and explain what it represents in this situation.

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Answer:

This function implies the maximum number of gigabytes of an MP3 player required to store x number of songs.

Step-by-step explanation:

The function f(x)=250x models the maximum number of songs that can be stored on an MP3 player with a capacity of x gigabytes.

Now, the inverse function of the above function is given by

[tex]f^{- 1}(x) = g(x) = \frac{x}{250}[/tex]

This function implies the maximum number of gigabytes of an MP3 player required to store x number of songs. (Answer)

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