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wolverine [178]
3 years ago
13

Find the inverse of the function y=2x^2+2

Mathematics
1 answer:
Tatiana [17]3 years ago
3 0

The inverse of the function is y = \sqrt{\frac{x - 2}{2}}


In order to find this, you must start by switching the y and x values. Once you do this, you can solve for the new y value and that will be in inverse. The work is done for you below.


y = 2x^2 + 2 ---> switch x and y

x = 2y^2 + 2 ---> subtract 2 from both sides

x - 2 = 2y^2 ---> divide both sides by 2

\frac{x-2}{2} = y^2 ---> take the square root of both sides.

\sqrt{\frac{x - 2}{2}} = y


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