Practice problem

Inverses of Power Functions Are Power Functions

Picture of a laptop with earbuds

Image by Goumbik via Pixabay (CC0)

The Wi-Fi at school slows down when more people are using their laptops. The Wi-Fi speed can be modeled by the function f(x)=12x12+100f(x)=\frac{1}{2}x^{\frac{1}{2}}+100 where xx is the number of laptops using the Wi-Fi. What is the inverse of this function? How many laptops are using the Wi-Fi if the speed is at 120120

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Type a concept, like “slope” or “photosynthesis”.

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