Mark the correct alternative in each of the following:
Let A = {x ϵ R: x ≤ 1} and f : A → A given by f(x) = x(2 – x).Then, f–1(x) is
Given that A = {x ϵ R: x ≤ 1} and f : A → A given by f(x) = x(2 – x).
y = f(x)
⇒ y = x(2 – x)
⇒ y = 2x – x2
⇒ y - 1 = 2x – x2 -1
⇒ y – 1 = - (x2 + 1 – 2x)
⇒ (x – 1)2 = 1 – y