Answer:
Explanation:
Please use " ^ " to indicate exponentiation: y = x^2 – 12
1) Interchange x and y: x = y^2 - 12
2) Solve this result for y: y^2 = x + 12. Taking the square root of both sides, we get y = ±√[x + 12].
-1
3) Label this as the inverse function f (x) = +√[x + 12]
Note that if the inverse could take on two different values, then it is not a function. It was for this reason that I eliminated the negative root.
Note that this inverse is valid only for [-12, infinity): this is the domain