Answer:
y = (x - 4)² + 2 , x ≥ 4.
Explanation:
Finding the inverse of
f(x) = 4 + √(x - 2)
Begin by swapping the x and y variables in the equation:
x = 4 + √(y - 2)
Subtract 4 from both sides:
x - 4 = √(y - 2)
Square both sides:
(x - 4)² = y - 2
Add 2 to both sides to get your equation:
y = (x - 4)² + 2
However, the domain restriction also needs to be included since the question involves finding the inverse of a square root function. In this case, the domain restriction would be x ≥ 4.