Question

Which equation is the inverse of y= 2x2-8

Answer 1

it'd be too hard to comment the answer but here, lemme know if you aren't able to se it

Answer 2

we have

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

Step 1

Exchanges the variables x for y and y for x

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

Step 2

Isolate the variable y

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

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

Square root both sides

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

Step 3

Let

`f(x)^(-1)=y`

`f(x)^(-1)=(+/-)\sqrt{(x+8)/(2)}`

therefore

the answer is

The inverse is equal to
`f(x)^(-1)=(+/-)\sqrt{(x+8)/(2)}`