Find the inverse of the function on the given domain.

Question

f(x)=(x-1)^2, [1, infinity)

I am looking for the inverse.

f^1(x)=_____________________

Answer 1

y = (x - 1)²; x = (y - 1)²; y = 1 + √x, x ≥ 0

f^-1(x) = 1 + √x, x ≥ 0