Question

Which equation is the inverse of y = 2x2 – 8?

Answer 1

I posted an image instead.

Answer 2

`y = \sqrt{(x+8)/(2)}`

Explanation:

Here, the given equation,

`y=2x^2-8`

For finding the inverse, interchange x and y,

`x=2y^2-8`

Add 8 on both sides,

`x+8=2y^2`

Divide both sides by 2,

`(x+8)/(2)=y^2`

Taking square root on both sides,

`\sqrt{(x+8)/(2)}=y`

`\implies y = \sqrt{(x+8)/(2)}`

Which is the required inverse of the given equation.