Question

Which equation is the inverse of y=2x^2-8

Answer 1

To get the inverse, we should swap the x- and y-variables, then solve for y. Swapping the variables gives the equation:
`x=2y^2-8`
Solving for y:

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

Answer 2

Explanation:

In order to get the inverse of equation, we will interchange the variables and solve for x and y as follows.

`y = 2x^(2) - 8`

whereas,
`y + 8 = 2x^(2)`

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

Now, on interchanging the variable we will get the equation as follows.

`x = 2y^(2) - 8`

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

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