Question

Find the inverse of the quadratic equation
f(x)=(x-4)^2+6

Answer 1

Explanation:

`y = (x - 4) {}^(2) + 6`

`y - 6 = (x - 4) {}^(2)`

`√(y - 6) = (x - 4)`

`√(y -6) + 4 = x`

Swap x and y.

`√(x - 6) + 4 = y`

Let

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

`f {}^( - 1) (x) = √(x - 6) + 4`

Answer 2

Answer:= x - 6 + 4 , - x - 6 + 4 is the inverse of f(x)=(x−4)2+

Explanation: