Mark the correct alternative in each of the following:
Let f : [2, ∞) → X be defined by f(x) = 4x – x2. Then, f is invertible, if X =
Given that f: [2, ∞) → X be defined by
f(x) = 4x – x2
Let y = f(x)
⇒ y = 4x – x2
⇒ -y + 4 = 4 - 4x + x2
⇒ 4 – y = (x – 2)2
So,
where x < 4
So, x ϵ (–∞, 4]