Question

Find the inverse of the function y=x^2-12

Answer 1

Swap the y with the x. So

`y=x^2-12`

`x = y^2-12`
Now solve for y

`x = y^2-12`

`x + 12 = y^2`

`√(x + 12) = √(y^2)`

`√(x + 12) = y`

`y = √(x + 12)`
Inverse notation:

`f(x)^(-1) = √(x + 12)`