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08-03-2019
Mathematics

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f(x) = 6x^2 find the inverse

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wegnerkolmp2741o wegnerkolmp2741o

08-03-2019

Answer:

The inverse is ±sqrt(x/6)

Step-by-step explanation:

Let y = 6x^2

To find the inverse, exchange x and y and then solve for y

Exchange x and y

x = 6y^2

Solve for y

Divide each side by 6

x/6 = 6y^2 /6

x/6 = y^2

Take the square root of each side

±sqrt(x/6) = sqrt(y^2)

±sqrt(x/6) =y

The inverse is ±sqrt(x/6)

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