Question

Choose the inverse of y=X2-2

Answer 1

26

Explanation:

Answer 2

For this case we must find the inverse of the following function:

`y = x ^ 2-2`

We exchange the variables:

`x = y ^ 2-2`

We clear the variable "y":

Adding 2 to both sides we have:

`x + 2 = y ^ 2`

Applying square root on both sides of the equation:

`y = \pm \sqrt {x + 2}`

We change y by
`f ^ {- 1} (x)`:
`f ^ {- 1} (x) =\pm \sqrt {x + 2}`

Answer:

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